illustrating susy breaking effects on various …ppp.ws/ppp2014/slides/yamada...illustrating susy...
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Illustrating SUSY breaking effects on various inflation models
山田 悠介 (早稲田大)
共同研究者
安倍 博之、青木 俊太朗、長谷川史憲
(早稲田大)
H. Abe, S. Aoki, F. Hasegawa and Y. Y, arXiv:1408.XXXX
7/29 基研研究会 素粒子物理学の進展2014
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Reconsider supergravity inflation from conformal supergravity
山田 悠介(早稲田大)
共同研究者
安倍 博之、青木 俊太朗、長谷川史憲
(早稲田大)
H. Abe, S. Aoki, F. Hasegawa and Y. Y, arXiv:1408.XXXXH. Abe, S. Aoki, and Y. Y, work in progress
7/29 基研研究会 素粒子物理学の進展2014
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1. Introduction
SUGRA inflation
Scalar potentialの構造がsupersymmetryで制限される
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1. Introduction
SUGRA inflation
Scalar potentialの構造がsupersymmetryで制限される
美しい、しかし、ややこしい。。。
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Scalar potential in “SUSY”
1. Introduction
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Scalar potential in “SUSY”
in SUGRA
1. Introduction
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Scalar potential in “SUSY”
Supergravitational corrections
in SUGRA
1. Introduction
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1. Introduction
“Gravity” mediated effects
ex. SUSY breaking effects on inflation,“gravity” mediated interaction
SUGRAに“潜んでいる”compensator multiplet
で色々と理解できる
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PART 1
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2. SUSY breaking effects on various inflation models
+ 1 loop effective potential
D-term hybrid inflation
Universal attractor inflation
P. Binetruy and G. R. Dvali (1996) E. Halyo (1996)
R. Kallosh, A. Linde and D. Roest (2013)
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2. SUSY breaking effects on various inflation models
D-term hybrid inflation
Universal attractor inflation
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2. SUSY breaking effects on various inflation models
D-term hybrid inflation
Universal attractor inflation
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2. SUSY breaking effects on various inflation models
D-term hybrid inflation
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2. SUSY breaking effects on various inflation models
Universal attractor inflation
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generators
Translation
SUSY
Lorentz rotation
Dilatation
Chiral U(1)
S-SUSY
Conformal boost
3. Review of conformal SUGRA
Ex. Dilatation transformation
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generators
Translation
SUSY
Lorentz rotation
Dilatation
Chiral U(1)
S-SUSY
Conformal boost
3. Review of conformal SUGRA
generators
Translation
SUSY
Lorentz rotation
Gauge fixing
Compensator multipletが必要
+global U(1)R, Kahler symmetry
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3. Review of conformal SUGRA
General SUGRA action
D-gauge fixing condition
(Einstein frame)
(Jordan frame)
: compensator
T. Kugo and S. Uehara (1983)
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3. Review of conformal SUGRA
D-gauge fixing condition
(Einstein frame)
A-gauge fixing condition
compensatorはfundamentalな場ではなくなる
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3. Review of conformal SUGRA
F-term scalar potential in conformal SUGRA
&
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3. Review of conformal SUGRA
F-term scalar potential in conformal SUGRA
&
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4. SUSY breaking effects from conformal SUGRA view point
D-term hybrid inflation
Universal attractor inflation
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4. SUSY breaking effects from conformal SUGRA view point
D-term hybrid inflation
Universal attractor inflation
enhancement
suppression
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“compensated” terms → enhancement/suppression effectsが生じる
Minimal Kahler models: η-problem
4. SUSY breaking effects from conformal SUGRA view point
実効的なPlanck massの変化
“Gravity” mediated couplingsのenhancement/suppression
Higher derivative extensionをしても同様の議論が出来る! (青木くんのポスター)
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PART 2
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6. SUGRA inflation without SUGRA corrections
補助場を消去する前のF-termポテンシャル
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6. SUGRA inflation without SUGRA corrections
Global SUSY like scalar potential !
c.f.
もし なら
補助場を消去する前のF-termポテンシャル
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6. SUGRA inflation without SUGRA corrections
Global SUSY like scalar potential !
もし なら
こんなことが起こるのか?
c.f.
補助場を消去する前のF-termポテンシャル
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6. SUGRA inflation without SUGRA corrections
M. Kawasaki, M. Yamaguchi, and T. Yanagida(2000)R. Kallosh, A. Linde, and T. Rube (2010)
インフレーション中Chaotic inflation in SUGRA
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6. SUGRA inflation without SUGRA corrections
M. Kawasaki, M. Yamaguchi, and T. Yanagida(2000)R. Kallosh, A. Linde, and T. Rube (2010)
インフレーション中Chaotic inflation in SUGRA
① inflation trajectoryによってSUGRA correctionを消去
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6. SUGRA inflation without SUGRA corrections
No-scale model
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6. SUGRA inflation without SUGRA corrections
No-scale model
No SUGRA corrections
② No-scale structureでSUGRA correctionを消去
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6. SUGRA inflation without SUGRA corrections
No-scale model
No SUGRA corrections
apploximately No-scale model (e.g. LARGE volume scenario
のとき
SUGRA corrections
Application to the tadpole problem in hybrid inflationT. Higaki, K. S. Jeong, F. Takahashi (2012)
D7-brane chaotic inflationA. Hebecker, S. C. Kraus, L. T. Witkowski
(In string theory )
② No-scale structureでSUGRA correctionを消去
V. Balasubramanian et al. (2005)
J. P. Conlon et al. (2005)
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6. SUGRA inflation without SUGRA corrections
LVS in effective theory of 5D SUGRA
5D:
Y. Sakamura and Y. Y (2013), (2014)
Approximately No-scale !
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6. SUGRA inflation without SUGRA corrections
をintegrate out
Global SUSY like parts
Suppressed SUGRA corrections
SUGRA inflation without SUGRA corrections!
※compensatorからの寄与は残る
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6. SUGRA inflation without SUGRA corrections
Example: chaotic inflation
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6. SUGRA inflation without SUGRA corrections
Simple chaotic inflation
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7. Summary
Supergravitational corrections= couplings between compensator and matters
全ての“compensated” termのEnhancement/Suppression effects
“gravity” mediated interactionsの原因
② No-scale (or approximately No-scale) model
SUGRA potential without SUGRA corrections
① vanishing trajectory
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Backup slides
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Effective theory of 5D SUGRA
Moduli (chiral)VectorChiral
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Constraint on approximately no-scale inflation & SUSY breaking scale
最も軽いmodulus( )のovershooting problemを避ける
Hubble correctionによって、 がポテンシャル障壁を超えないためには次の条件が必要
High scale SUSY breaking !