on various in inflation models ( ) - - PowerPoint PPT Presentation

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on various in inflation models ( ) - - PowerPoint PPT Presentation

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7/29 2014 Ill Illustrating SUSY breaking effects on various in inflation models ( ) ( ) H.

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Ill Illustrating SUSY breaking effects

  • n various in

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 in 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.XXXX
  • H. 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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SLIDE 8
  • 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 inflation

  • T. Higaki, K. S. Jeong, F. Takahashi (2012)

D7-brane chaotic inflation

  • A. 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)

Vector Chiral

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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 !