rafael nepomechie - university of miami · by xin zhang, junpeng cao, shuai cui, rafael i....

21
Rafael Nepomechie Publications 1) Equivalent T-Q relations and exact results for the open TASEP By Nicolas Crampe, Rafael I. Nepomechie. arXiv:1806.07748 [math-ph]. 2) New $D_{n+1}^{(2)}$ K-matrices with quantum group symmetry By Rafael I. Nepomechie, Rodrigo A. Pimenta. arXiv:1805.10144 [hep-th]. 3) Surveying the quantum group symmetries of integrable open spin chains By Rafael I. Nepomechie, Ana L. Retore. arXiv:1802.04864 [hep-th]. 10.1016/j.nuclphysb.2018.02.023. Nucl.Phys. B930 (2018) 91-134. 4) A tale of two Bethe ansätze By Antonio Lima-Santos, Rafael I. Nepomechie, Rodrigo A. Pimenta. arXiv:1712.06475 [math-ph]. 10.1088/1742-5468/aab851. J.Stat.Mech. 1804 (2018) no.4, 043107. 5) Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish By Nikolai Kitanine, Rafael I. Nepomechie, Nicolai Reshetikhin. arXiv:1711.09879 [hep-th]. 10.1088/1751-8121/aaa465. J.Phys. A51 (2018) no.11, 110201. 6) The integrable quantum group invariant $A_{2n-1}^(2)$ and $D_{n+1}^(2)$ open spin chains By Rafael I. Nepomechie, Rodrigo A. Pimenta, Ana L. Retore.

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Page 1: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

Rafael Nepomechie

Publications

1) Equivalent T-Q relations and exact results for the open TASEP By Nicolas Crampe, Rafael I. Nepomechie. arXiv:1806.07748 [math-ph]. 2) New $D_{n+1}^{(2)}$ K-matrices with quantum group symmetry By Rafael I. Nepomechie, Rodrigo A. Pimenta. arXiv:1805.10144 [hep-th]. 3) Surveying the quantum group symmetries of integrable open spin chains By Rafael I. Nepomechie, Ana L. Retore. arXiv:1802.04864 [hep-th]. 10.1016/j.nuclphysb.2018.02.023. Nucl.Phys. B930 (2018) 91-134. 4) A tale of two Bethe ansätze By Antonio Lima-Santos, Rafael I. Nepomechie, Rodrigo A. Pimenta. arXiv:1712.06475 [math-ph]. 10.1088/1742-5468/aab851. J.Stat.Mech. 1804 (2018) no.4, 043107. 5) Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish By Nikolai Kitanine, Rafael I. Nepomechie, Nicolai Reshetikhin. arXiv:1711.09879 [hep-th]. 10.1088/1751-8121/aaa465. J.Phys. A51 (2018) no.11, 110201. 6) The integrable quantum group invariant $A_{2n-1}^(2)$ and $D_{n+1}^(2)$ open spin chains By Rafael I. Nepomechie, Rodrigo A. Pimenta, Ana L. Retore.

Page 2: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

arXiv:1707.09260 [math-ph]. 10.1016/j.nuclphysb.2017.09.004. Nucl.Phys. B924 (2017) 86-127. 7) Quantum group symmetries and completeness for $\boldsymbol {A}_{\boldsymbol {2n}}^{\boldsymbol{(2)}}$ open spin chains By Ibrahim Ahmed, Rafael I. Nepomechie, Chunguang Wang. arXiv:1702.01482 [math-ph]. 10.1088/1751-8121/aa7606. J.Phys. A50 (2017) no.28, 284002. 8) An inhomogeneous Lax representation for the Hirota equation By Davide Fioravanti, Rafael I. Nepomechie. arXiv:1609.06761 [math-ph]. 10.1088/1751-8121/aa5303. J.Phys. A50 (2017) no.5, 054001. 9) Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity By Azat M. Gainutdinov, Rafael I. Nepomechie. arXiv:1603.09249 [math-ph]. 10.1016/j.nuclphysb.2016.06.007. Nucl.Phys. B909 (2016) 796-839. 10) Universal Bethe ansatz solution for the Temperley–Lieb spin chain By Rafael I. Nepomechie, Rodrigo A. Pimenta. arXiv:1601.04378 [math-ph]. 10.1016/j.nuclphysb.2016.04.045. Nucl.Phys. B910 (2016) 910-928. 11) Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain By Rafael I. Nepomechie, Rodrigo A. Pimenta. arXiv:1601.04328 [math-ph]. 10.1016/j.nuclphysb.2016.04.044. Nucl.Phys. B910 (2016) 885-909. 12) Wrapping corrections for non-diagonal boundaries in AdS/CFT By Zoltan Bajnok, Rafael I. Nepomechie.

Page 3: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

arXiv:1512.01296 [hep-th]. 10.1007/JHEP02(2016)024. JHEP 1602 (2016) 024. 13) Fusion for AdS/CFT boundary S-matrices By Rafael I. Nepomechie, Rodrigo A. Pimenta. arXiv:1509.02426 [hep-th]. 10.1007/JHEP11(2015)161. JHEP 1511 (2015) 161. 14) Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen-Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133. JHEP 1510 (2015) 133. 15) Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity By A.M. Gainutdinov, Wenrui Hao, Rafael I. Nepomechie, Andrew J. Sommese. arXiv:1505.02104 [math-ph]. 10.1088/1751-8113/48/49/494003. J.Phys. A48 (2015) no.49, 494003. 16) Twisting singular solutions of Bethe's equations By Rafael I. Nepomechie, Chunguang Wang. arXiv:1409.7382 [math-ph]. 10.1088/1751-8113/47/50/505004. J.Phys. A47 (2014) no.50, 505004. 17) The spectrum of tachyons in AdS/CFT By Zoltán Bajnok, Nadav Drukker, Árpád Hegedüs, Rafael I. Nepomechie, László Palla, Christoph Sieg, Ryo Suzuki. arXiv:1312.3900 [hep-th]. 10.1007/JHEP03(2014)055. JHEP 1403 (2014) 055.

Page 4: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

18) Singular solutions, repeated roots and completeness for higher-spin chains By Wenrui Hao, Rafael I. Nepomechie, Andrew J. Sommese. arXiv:1312.2982 [math-ph]. 10.1088/1742-5468/2014/03/P03024. J.Stat.Mech. 1403 (2014) P03024. 19) Boundary energy of the open XXX chain with a non-diagonal boundary term By Rafael I. Nepomechie, Chunguang Wang. arXiv:1310.6305 [math-ph]. 10.1088/1751-8113/47/3/032001. J.Phys. A47 (2014) 032001. 20) Completeness of solutions of Bethe's equations By Wenrui Hao, Rafael I. Nepomechie, Andrew J. Sommese. arXiv:1308.4645 [math-ph]. 10.1103/PhysRevE.88.052113. Phys.Rev. E88 (2013) no.5, 052113. 21) An inhomogeneous T-Q equation for the open XXX chain with general boundary terms: completeness and arbitrary spin By Rafael I. Nepomechie. arXiv:1307.5049 [math-ph]. 10.1088/1751-8113/46/44/442002. J.Phys. A46 (2013) 442002. 22) Algebraic Bethe ansatz for singular solutions By Rafael I. Nepomechie, Chunguang Wang. arXiv:1304.7978 [hep-th]. 10.1088/1751-8113/46/32/325002. J.Phys. A46 (2013) 325002. 23) Y-system for Y=0 brane in planar AdS/CFT By Zoltan Bajnok, Rafael I. Nepomechie, Laszlo Palla, Ryo Suzuki. arXiv:1205.2060 [hep-th]. 10.1007/JHEP08(2012)149.

Page 5: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

JHEP 1208 (2012) 149. 24) OPE in planar QCD from integrability By Changrim Ahn, Omar Foda, Rafael I. Nepomechie. arXiv:1202.6553 [hep-th]. 10.1007/JHEP06(2012)168. JHEP 1206 (2012) 168. 25) Revisiting the Y=0 open spin chain at one loop By Rafael I. Nepomechie. arXiv:1109.4366 [hep-th]. 10.1007/JHEP11(2011)069. JHEP 1111 (2011) 069. 26) TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT By Changrim Ahn, Zoltan Bajnok, Diego Bombardelli, Rafael I. Nepomechie. arXiv:1108.4914 [hep-th]. 10.1007/JHEP12(2011)059. JHEP 1112 (2011) 059. 27) Review of AdS/CFT Integrability: An Overview By Niklas Beisert et al.. arXiv:1012.3982 [hep-th]. 10.1007/s11005-011-0529-2. Lett.Math.Phys. 99 (2012) 3-32. 28) Review of AdS/CFT Integrability, Chapter III.2: Exact World-Sheet S-Matrix By Changrim Ahn, Rafael I. Nepomechie. arXiv:1012.3991 [hep-th]. 10.1007/s11005-011-0478-9. Lett.Math.Phys. 99 (2012) 209-229. 29) Twisted Bethe equations from a twisted S-matrix By Changrim Ahn, Zoltan Bajnok, Diego Bombardelli, Rafael I. Nepomechie. arXiv:1010.3229 [hep-th]. 10.1007/JHEP02(2011)027. JHEP 1102 (2011) 027.

Page 6: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

30) Finite-size effect for four-loop Konishi of the \{beta}-deformed N=4 SYM By Changrim Ahn, Zoltan Bajnok, Diego Bombardelli, Rafael I. Nepomechie. arXiv:1006.2209 [hep-th]. 10.1016/j.physletb.2010.08.056. Phys.Lett. B693 (2010) 380-385. 31) Yangian symmetry and bound states in AdS/CFT boundary scattering By Changrim Ahn, Rafael I. Nepomechie. arXiv:1003.3361 [hep-th]. 10.1007/JHEP05(2010)016. JHEP 1005 (2010) 016. 32) Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices By Rafael I. Nepomechie. arXiv:0911.5494 [hep-th]. 10.1016/j.nuclphysb.2010.01.006. Nucl.Phys. B831 (2010) 429-451. 33) On the absence of reflection in AdS(4) / CFT(3) By Changrim Ahn, Patrick Dorey, Rafael I. Nepomechie. arXiv:0910.5584 [hep-th]. 10.1007/JHEP01(2010)129. JHEP 1001 (2010) 129. 34) Bethe ansatz equations for open spin chains from giant gravitons By Rafael I. Nepomechie. arXiv:0903.1646 [hep-th]. 10.1088/1126-6708/2009/05/100. JHEP 0905 (2009) 100. 35) Two-loop test of the N=6 Chern-Simons theory S-matrix By Changrim Ahn, Rafael I. Nepomechie. arXiv:0901.3334 [hep-th]. 10.1088/1126-6708/2009/03/144. JHEP 0903 (2009) 144.

Page 7: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

36) Analytical Bethe ansatz for the open AdS/CFT SU(1|1) spin chain By Rafael I. Nepomechie, Eric Ragoucy. arXiv:0810.5015 [hep-th]. 10.1088/1126-6708/2008/12/025. JHEP 0812 (2008) 025. 37) An Alternative S-matrix for N=6 Chern-Simons theory? By Changrim Ahn, Rafael I. Nepomechie. arXiv:0810.1915 [hep-th]. 10.1088/1126-6708/2009/03/068. JHEP 0903 (2009) 068. 38) Open-chain transfer matrices for AdS/CFT By Rajan Murgan, Rafael I. Nepomechie. arXiv:0808.2629 [hep-th]. 10.1088/1126-6708/2008/09/085. JHEP 0809 (2008) 085. 39) N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations By Changrim Ahn, Rafael I. Nepomechie. arXiv:0807.1924 [hep-th]. 10.1088/1126-6708/2008/09/010. JHEP 0809 (2008) 010. 40) q-deformed su(2|2) boundary S-matrices via the ZF algebra By Rajan Murgan, Rafael I. Nepomechie. arXiv:0805.3142 [hep-th]. 10.1088/1126-6708/2008/06/096. JHEP 0806 (2008) 096. 41) The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons By Changrim Ahn, Rafael I. Nepomechie. arXiv:0804.4036 [hep-th]. 10.1088/1126-6708/2008/05/059. JHEP 0805 (2008) 059.

Page 8: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

42) The QCD spin chain S matrix By Changrim Ahn, Rafael I. Nepomechie, Junji Suzuki. arXiv:0711.2415 [hep-th]. 10.1016/j.nuclphysb.2007.12.026. Nucl.Phys. B798 (2008) 402-422. 43) Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms By Luc Frappat, Rafael Nepomechie, Eric Ragoucy. arXiv:0707.0653 [math-ph]. 10.1088/1742-5468/2007/09/P09009. J.Stat.Mech. 0709 (2007) P09009. 44) Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions By Changrim Ahn, Rafael I. Nepomechie, Junji Suzuki. hep-th/0611136. 10.1016/j.nuclphysb.2007.01.001. Nucl.Phys. B767 (2007) 250-294. 45) Boundary energy of the general open XXZ chain at roots of unity By Rajan Murgan, Rafael I. Nepomechie, Chi Shi. hep-th/0611078. 10.1088/1126-6708/2007/01/038. JHEP 0701 (2007) 038. 46) Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity By Rajan Murgan, Rafael I. Nepomechie, Chi Shi. hep-th/0605223. 10.1088/1742-5468/2006/08/P08006. J.Stat.Mech. 0608 (2006) P08006. 47) Boundary energy of the open XXZ chain from new exact solutions By Rajan Murgan, Rafael I. Nepomechie, Chi Shi. hep-th/0512058. 10.1007/s00023-006-0286-4. Annales Henri Poincare 7 (2006) 1429-1448.

Page 9: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

48) Q-operator and T-Q relation from the fusion hierarchy By Wen-Li Yang, Rafael I. Nepomechie, Yao-Zhong Zhang. hep-th/0511134. 10.1016/j.physletb.2005.12.022. Phys.Lett. B633 (2006) 664-670. 49) Bethe Ansatz for the open XXZ chain from functional relations at roots of unity By Rafael I. Nepomechie. hep-th/0510086. 50) Generalized T - Q relations and the open XXZ chain By Rajan Murgan, Rafael I. Nepomechie. hep-th/0507139. 10.1088/1742-5468/2005/08/P08002. J.Stat.Mech. 0508 (2005) P08002. 51) Bethe Ansatz from functional relations of open XXZ chain for new special cases By Rajan Murgan, Rafael I. Nepomechie. hep-th/0504124. 10.1088/1742-5468/2005/05/P05007. J.Stat.Mech. 0505 (2005) P05007. 52) NLIE for hole excited states in the Sine-Gordon model with two boundaries By Changrim Ahn, Zoltan Bajnok, Rafael I. Nepomechie, Laszlo Palla, Gabor Takacs. hep-th/0501047. 10.1016/j.nuclphysb.2005.03.014. Nucl.Phys. B714 (2005) 307-335. 53) Integrability + supersymmetry + boundary: Life on the edge is not so dull after all! By Rafael I. Nepomechie. hep-th/0406124.

Page 10: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

54) Finite size effects in the XXZ and sine-Gordon models with two boundaries By Changrim Ahn, Rafael I. Nepomechie. hep-th/0309261. 10.1016/j.nuclphysb.2003.11.012. Nucl.Phys. B676 (2004) 637-658. 55) Completeness of the Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms By Rafael I. Nepomechie, Francesco Ravanini. hep-th/0307095. 10.1088/0305-4470/36/45/003. J.Phys. A36 (2003) 11391-11402. 56) Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms By Rafael I. Nepomechie. hep-th/0304092. 10.1088/0305-4470/37/2/012. J.Phys. A37 (2004) 433-440. 57) Functional relations and Bethe Ansatz for the XXZ chain By Rafael I. Nepomechie. hep-th/0211001. 10.1023/A:1023016602955. J.Statist.Phys. 111 (2003) 1363-1376. 58) TBA boundary flows in the tricritical Ising field theory By Rafael I. Nepomechie, Changrim Ahn. hep-th/0207012. 10.1016/S0550-3213(02)00909-4. Nucl.Phys. B647 (2002) 433-470. 59) Boundary quantum group generators of type A By Rafael I. Nepomechie. hep-th/0204181. 10.1023/A:1021666606803. Lett.Math.Phys. 62 (2002) 83-89.

Page 11: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

60) Solutions of the boundary Yang-Baxter equation for arbitrary spin By G.W. Delius, Rafael I. Nepomechie. hep-th/0204076. 10.1088/0305-4470/35/24/102. J.Phys. A35 (2002) L341-L348. 61) Supersymmetry in the boundary tricritical Ising field theory By Rafael I. Nepomechie. hep-th/0203123. 10.1142/S0217751X02012119. Int.J.Mod.Phys. A17 (2002) 3809, Erratum: Int.J.Mod.Phys. A18 (2003) 2729. 62) Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity By Rafael I. Nepomechie. hep-th/0110116. 10.1016/S0550-3213(02)00219-5, 10.1016/S0550-3213(01)00585-5. Nucl.Phys. B622 (2002) 615-632, Addendum: Nucl.Phys. B631 (2002) 519-519. 63) Bethe Ansatz solution of the open XX spin chain with nondiagonal boundary terms By Rafael I. Nepomechie. hep-th/0110081. 10.1088/0305-4470/34/47/306. J.Phys. A34 (2001) 9993-10004. 64) Boundary S matrices with N=2 supersymmetry By Rafael I. Nepomechie. hep-th/0106223. 10.1016/S0370-2693(01)00924-8. Phys.Lett. B516 (2001) 161-164. 65) The Boundary N=2 supersymmetric sine-Gordon model By Rafael I. Nepomechie. hep-th/0106207. 10.1016/S0370-2693(01)00914-5.

Page 12: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

Phys.Lett. B516 (2001) 376-382. 66) The Boundary supersymmetric sine-Gordon model revisited By Rafael I. Nepomechie. hep-th/0103029. 10.1016/S0370-2693(01)00534-2. Phys.Lett. B509 (2001) 183-188. 67) Consistent superconformal boundary states By Rafael I. Nepomechie. hep-th/0102010. 10.1088/0305-4470/34/33/314. J.Phys. A34 (2001) 6509-6524. 68) The Scaling supersymmetric Yang-Lee model with boundary By Chang-rim Ahn, Rafael I. Nepomechie. hep-th/0009250. 10.1016/S0550-3213(00)00668-4. Nucl.Phys. B594 (2001) 660-684. 69) Exact solution of the supersymmetric sinh-Gordon model with boundary By Chang-rim Ahn, Rafael I. Nepomechie. hep-th/0005170. 10.1016/S0550-3213(00)00440-5. Nucl.Phys. B586 (2000) 611-640. 70) Nonstandard coproducts and the Izergin-Korepin open spin chain By Rafael I. Nepomechie. hep-th/9911232. 10.1088/0305-4470/33/2/101. J.Phys. A33 (2000) L21-L26. 71) Soliton S matrices for the critical A(1)(N-1) chain By Anastasia Doikou, Rafael I. Nepomechie. hep-th/9906069. 10.1016/S0370-2693(99)00873-4. Phys.Lett. B462 (1999) 121-131.

Page 13: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

72) Direct calculation of breather S matrices By Anastasia Doikou, Rafael I. Nepomechie. hep-th/9903066. 10.1088/0305-4470/32/20/301. J.Phys. A32 (1999) 3663-3680. 73) Parity and charge conjugation symmetries and S matrix of the XXZ chain By Anastasia Doikou, Rafael I. Nepomechie. hep-th/9810034. 74) A Spin chain primer By Rafael I. Nepomechie. hep-th/9810032. 10.1142/S0217979299002800. Int.J.Mod.Phys. B13 (1999) 2973-2986. 75) Discrete symmetries and S matrix of the XXZ chain By Anastasia Doikou, Rafael I. Nepomechie. hep-th/9808012. 10.1088/0305-4470/31/37/001. J.Phys. A31 (1998) L621-L628. 76) Duality and quantum algebra symmetry of the A**(1)(N-1) open spin chain with diagonal boundary fields By Anastasia Doikou, Rafael I. Nepomechie. hep-th/9807065. 10.1016/S0550-3213(98)00567-7. Nucl.Phys. B530 (1998) 641-664. 77) Bulk and boundary S matrices for the SU(N) chain By Anastasia Doikou, Rafael I. Nepomechie. hep-th/9803118. 10.1016/S0550-3213(98)00239-9. Nucl.Phys. B521 (1998) 547-572. 78) Fractional - spin integrals of motion for the boundary Sine-Gordon model at the free fermion point By Luca Mezincescu, Rafael I. Nepomechie.

Page 14: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

hep-th/9709078. 10.1142/S0217751X98001402. Int.J.Mod.Phys. A13 (1998) 2747-2764. 79) Boundary S matrix for the XXZ chain By Anastasia Doikou, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9708145. 10.1088/0305-4470/31/1/010. J.Phys. A31 (1998) 53-59. 80) Factorization of multiparticle scattering in the Heisenberg spin chain By Anastasia Doikou, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9707155. 10.1142/S0217732397002727. Mod.Phys.Lett. A12 (1997) 2591-2598. 81) Simplified calculation of boundary S matrices By Anastasia Doikou, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9705187. 10.1088/0305-4470/30/15/005. J.Phys. A30 (1997) L507-L512. 82) Boundary S matrix for the boundary sine-Gordon model from fractional-spin integrals of motion By L. Mezincescu, R.I. Nepomechie. 83) Integrals of motion for the sine-Gordon model with boundary at the free fermion point By L. Mezincescu, R.I. Nepomechie. 84) Lectures on integrable quantum spin chains By Luca Mezincescu, Rafael I. Nepomechie. 85) Analytical Bethe ansatz for A(2)(2n-1), B(1)(n), C(1)(n), D(1)(n) quantum algebra invariant open spin chains By Simone Artz, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9504085. 10.1088/0305-4470/28/18/006.

Page 15: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

J.Phys. A28 (1995) 5131-5142. 86) Exact S matrices for integrable quantum spin chains By Luca Mezincescu, Rafael I. Nepomechie. hep-th/9501109. 87) Spectrum of transfer matrix for U-q (B(n)) invariant A(2n)(2) open spin chain By Simone Artz, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9409130. 10.1142/S0217751X95000942. Int.J.Mod.Phys. A10 (1995) 1937-1952. 88) Quantum field theory, statistical mechanics, quantum groups and topology. Proceedings, NATO Advanced Research Workshop, Miami, USA, January 7-12, 1991 By T. Curtright, L. Mezincescu, R. Nepomechie. Singapore, Singapore: World Scientific (1992) 347 p. 89) Introduction to the thermodynamics of spin chains By Luca Mezincescu, Rafael I. Nepomechie. hep-th/9212124. 90) Fusion procedure for open chains By Luca Mezincescu, Rafael I. Nepomechie. J.Phys. A25 (1992) 2533-2544. 91) Exactly solved models with quantum algebra symmetry By Luca Mezincescu, Rafael I. Nepomechie. hep-th/9110049. 92) Integrable higher spin chains with SU-q(2) symmetry By Luca Mezincescu, Rafael I. Nepomechie. 93) Integrable quantum chains and quantum groups By Rafael I. Nepomechie. 94) $q$ Deformations of the O(3) Symmetric Spin 1 Heisenberg Chain

Page 16: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

By Murray T. Batchelor, Luca Mezincescu, Rafael I. Nepomechie, V. Rittenberg. 10.1088/0305-4470/23/4/003. J.Phys. A23 (1990) L141. 95) Riemann Double Construction For Spinning String Propagators By Jun Liu, Luca Mezincescu, Rafael I. Nepomechie. 10.1016/0370-2693(89)91227-6. Phys.Lett. B224 (1989) 265-272. 96) Path Integral Calculation of the Closed Spinning String Propagator By Luca Mezincescu, Rafael I. Nepomechie, Paul K. Townsend. 10.1016/0550-3213(89)90488-4. Nucl.Phys. B322 (1989) 127-166. 97) Elliptic Functions And The Closed Spinning String Propagator By Luca Mezincescu, Rafael I. Nepomechie, Paul K. Townsend. 10.1088/0264-9381/6/2/005. Class.Quant.Grav. 6 (1989) L29. 98) Conformal Algebra On The Torus And Its Supersymmetric Generalizations By Rafael I. Nepomechie. 99) (Super)conformal Algebra on the (Super)torus By Luca Mezincescu, Rafael I. Nepomechie, Cosmas K. Zachos. 10.1016/0550-3213(89)90448-3. Nucl.Phys. B315 (1989) 43-78. 100) Chiral Bosonization By Rafael I. Nepomechie. 101) Critical Dimensions for Chiral Bosons By Luca Mezincescu, Rafael I. Nepomechie. 10.1103/PhysRevD.37.3067. Phys.Rev. D37 (1988) 3067. 102) Nonabelian Bosonization: Stress Energy Correlation Functions By Lowell S. Brown, Gary J. Goldberg, Chaiho P. Rim, Rafael I. Nepomechie.

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10.1103/PhysRevD.36.551. Phys.Rev. D36 (1987) 551. 103) Nonabelian Bosonization: Current Correlation Functions By Lowell S. Brown, Rafael I. Nepomechie. 10.1103/PhysRevD.35.3239. Phys.Rev. D35 (1987) 3239. 104) Nonabelian Bosonization, Triality and Superstring Theory By Rafael I. Nepomechie. 10.1016/0370-2693(86)91497-8, 10.1016/0370-2693(86)91214-1. Phys.Lett. B178 (1986) 207, Addendum: Phys.Lett. B180 (1986) 423. 105) String Models With Twisted Currents By Rafael I. Nepomechie. 10.1103/PhysRevD.34.1129. Phys.Rev. D34 (1986) 1129. 106) Nonabelian Symmetries From Higher Dimensions in String Theories By Rafael I. Nepomechie. 10.1103/PhysRevD.33.3670, 10.1103/PhysRevD.36.3290. Phys.Rev. D33 (1986) 3670, Erratum: Phys.Rev. D36 (1987) 3290. 107) Chern-simons Terms and Bosonic Strings By Rafael I. Nepomechie. 10.1016/0370-2693(86)91530-3. Phys.Lett. B171 (1986) 195-198. 108) On the Low-energy Limit of Strings By Rafael I. Nepomechie. 10.1103/PhysRevD.32.3201. Phys.Rev. D32 (1985) 3201. 109) New Compactifications On Calabi-yau Manifolds By Rafael I. Nepomechie, Yong-Shi Wu, A. Zee. 10.1016/0370-2693(85)91189-X. Phys.Lett. 158B (1985) 311.

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110) Phase Interaction Between Extended Objects By Rafael I. Nepomechie, A. Zee. IN *BATALIN, I.A. (ED.) ET AL.: QUANTUM FIELD THEORY AND QUANTUM STATISTICS, VOL. 2*, 467-472 AND WASHINGTON UNIV. SEATTLE - 40048-03-P5 (84,REC.FEB.85) 5p. 111) Comment On `quantum Effects On Four-dimensional Space-time Symmetries' By Rafael I. Nepomechie. 10.1103/PhysRevLett.54.1458. Phys.Rev.Lett. 54 (1985) 1458. 112) Magnetic Monopoles from Antisymmetric Tensor Gauge Fields By Rafael I. Nepomechie. 10.1103/PhysRevD.31.1921. Phys.Rev. D31 (1985) 1921. 113) Calculating Heat Kernels By Rafael I. Nepomechie. 10.1103/PhysRevD.31.3291. Phys.Rev. D31 (1985) 3291. 114) Evaluating Fermion Determinants Through the Chiral Anomaly By Rafael I. Nepomechie. 10.1016/0003-4916(84)90239-2. Annals Phys. 158 (1984) 67. 115) Remarks on Quantized {Yang-Mills} Theory in Twentysix-dimensions By Rafael I. Nepomechie. 10.1016/0370-2693(83)90385-4. Phys.Lett. 128B (1983) 177-178. 116) Approaches To A Nonabelian Antisymmetric Tensor Gauge Field Theory By Rafael I. Nepomechie. 10.1016/0550-3213(83)90306-1. Nucl.Phys. B212 (1983) 301-320. 117) Unified Geometry of Antisymmetric Tensor Gauge Fields and Gravity

Page 19: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

By Peter G.O. Freund, Rafael I. Nepomechie. 10.1016/0550-3213(82)90356-X. Nucl.Phys. B199 (1982) 482-494. 118) Duality of the Polyakov $N$ Point Amplitude By Rafael I. Nepomechie. 10.1103/PhysRevD.25.2706. Phys.Rev. D25 (1982) 2706. 119) A New Formulation of the String Action By Rafael I. Nepomechie, Mark A. Rubin, Yutaka Hosotani. 10.1016/0370-2693(81)91204-1. Phys.Lett. 105B (1981) 457-461. 120) Direct calculation of the boundary S matrix for the open Heisenberg chain By Marcus T. Grisaru, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9407089. 10.1088/0305-4470/28/4/025. J.Phys. A28 (1995) 1027-1046. 121) Scalar kinks By H.J. de Vega, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9402053. 10.1142/S0217979294001469. Int.J.Mod.Phys. B8 (1994) 3473-3485. 122) Thermodynamics of integrable chains with alternating spins By H.J. de Vega, Luca Mezincescu, Rafael I. Nepomechie. hep-th/9303043. 10.1103/PhysRevB.49.13223. Phys.Rev. B49 (1994) 13223-13226. 123) Low temperature thermodynamics of A2(2) and SU(3) invariant spin chains By Luca Mezincescu, Rafael I. Nepomechie, P.K. Townsend, A.M. Tsvelik. hep-th/9212125. 10.1016/0550-3213(93)90006-B.

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Nucl.Phys. B406 (1993) 681-707. 124) Models with quantum symmetry and their spectra By Luca Mezincescu, Rafael I. Nepomechie. hep-th/9208021. 125) Analytical Bethe Ansatz for quantum algebra invariant spin chains By Luca Mezincescu, Rafael I. Nepomechie. hep-th/9110050. 10.1016/0550-3213(92)90367-K. Nucl.Phys. B372 (1992) 597-621. 126) Quantum algebra structure of exactly soluble quantum spin chains By Luca Mezincescu, Rafael I. Nepomechie. 10.1142/S0217732391002931. Mod.Phys.Lett. A6 (1991) 2497-2508. 127) Integrability of open spin chains with quantum algebra symmetry By Luca Mezincescu, Rafael I. Nepomechie. hep-th/9206047. 10.1142/S0217751X9200257X, 10.1142/S0217751X91002458. Int.J.Mod.Phys. A6 (1991) 5231-5248, Addendum: Int.J.Mod.Phys. A7 (1992) 5657-5659. 128) Integrable open spin chains with nonsymmetric R matrices By Luca Mezincescu, Rafael I. Nepomechie. J.Phys. A24 (1991) L17-L24. 129) Unitarity and Irrationality for the Quantum Algebra U-$q$ [SU(2)] By Luca Mezincescu, Rafael I. Nepomechie. 10.1016/0370-2693(90)90622-D. Phys.Lett. B246 (1990) 412-416. 130) Bethe Ansatz Solution of the Fateev-zamolodchikov Quantum Spin Chain With Boundary Terms By Luca Mezincescu, Rafael I. Nepomechie, V. Rittenberg. 10.1016/0375-9601(90)90016-H. Phys.Lett. A147 (1990) 70-78.

Page 21: Rafael Nepomechie - University of Miami · By Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen -Li Yang, Kangjie Shi, Yupeng Wang. arXiv:1507.08866 [hep-th]. 10.1007/JHEP10(2015)133

131) Do Supermembranes Contain Massless Particles? By Luca Mezincescu, Rafael I. Nepomechie, P. van Nieuwenhuizen. 10.1016/0550-3213(88)90085-5. Nucl.Phys. B309 (1988) 317-329. 132) Supersymmetric Skyrmions in Four-dimensions By Eric A. Bergshoeff, Rafael I. Nepomechie, Howard J. Schnitzer. 10.1016/0550-3213(85)90041-0. Nucl.Phys. B249 (1985) 93-130. 133) Einstein Gravity as the Low-energy Effective Theory of Weyl Gravity By Rafael I. Nepomechie. 10.1016/0370-2693(84)92050-1. Phys.Lett. 136B (1984) 33-37. 134) Discrete Symmetries in {Kaluza-Klein} Theories By M. Belen Gavela, Rafael I. Nepomechie. 10.1088/0264-9381/1/2/004. Class.Quant.Grav. 1 (1984) L21. 135) Anomalous Propagation of Gauge Fields in Conformally Flat Spaces By Stanley Deser, Rafael I. Nepomechie. 10.1016/0370-2693(83)90317-9. Phys.Lett. 132B (1983) 321-324. 136) Gauge Invariance Versus Masslessness in De Sitter Space By Stanley Deser, Rafael I. Nepomechie. 10.1016/0003-4916(84)90156-8. Annals Phys. 154 (1984) 396. 137) Electric - Magnetic Duality of Conformal Gravitation By Stanley Deser, Rafael I. Nepomechie. 10.1016/0375-9601(83)90654-0. Phys.Lett. A97 (1983) 329.