on various in inflation models ( ) - PowerPoint PPT Presentation

7/29 基研研究会 素粒子物理学の進展 2014 Ill Illustrating SUSY breaking effects on 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 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

1. Introduction SUGRA inflation Scalar potential の構造が supersymmetry で制限される

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。。。

1. Introduction Scalar potential in “SUSY”

1. Introduction Scalar potential in “SUSY” in SUGRA

1. Introduction Scalar potential in “SUSY” in SUGRA Supergravitational corrections

1. Introduction “Gravity” mediated effects SUGRA に“潜んでいる” compensator multiplet ex. SUSY breaking effects on inflation, “gravity” mediated interaction で色々と理解できる

PART 1

2. SUSY breaking effects on various inflation models D-term hybrid inflation + 1 loop effective potential P. Binetruy and G. R. Dvali (1996) E. Halyo (1996) Universal attractor inflation R. Kallosh, A. Linde and D. Roest (2013)

2. SUSY breaking effects on various inflation models D-term hybrid inflation Universal attractor inflation

2. SUSY breaking effects on various inflation models D-term hybrid inflation Universal attractor inflation

2. SUSY breaking effects on various inflation models D-term hybrid inflation

2. SUSY breaking effects on various inflation models Universal attractor inflation

3. Review of conformal SUGRA Ex. Dilatation transformation generators Translation SUSY Lorentz rotation Dilatation Chiral U(1) S-SUSY Conformal boost

3. Review of conformal SUGRA generators generators Translation Translation SUSY SUSY Lorentz rotation Lorentz rotation Dilatation +global U(1)R, Kahler symmetry Chiral U(1) Gauge fixing S-SUSY Compensator multiplet が必要 Conformal boost

3. Review of conformal SUGRA General SUGRA action : compensator T. Kugo and S. Uehara (1983) D-gauge fixing condition (Einstein frame) (Jordan frame)

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

3. Review of conformal SUGRA F-term scalar potential in conformal SUGRA &

3. Review of conformal SUGRA F-term scalar potential in conformal SUGRA &

4. SUSY breaking effects from conformal SUGRA view point D-term hybrid inflation Universal attractor inflation

4. SUSY breaking effects from conformal SUGRA view point D-term hybrid inflation enhancement Universal attractor inflation suppression

4. SUSY breaking effects from conformal SUGRA view point 実効的な Planck mass の変化 “Gravity” mediated couplings の enhancement/suppression “compensated” terms → enhancement/suppression effects が生じる η -problem Minimal Kahler models: 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 )

PART 2

6. SUGRA inflation without SUGRA corrections 補助場を消去する前の F-term ポテンシャル

6. SUGRA inflation without SUGRA corrections 補助場を消去する前の F-term ポテンシャル もし なら c.f. Global SUSY like scalar potential !

6. SUGRA inflation without SUGRA corrections 補助場を消去する前の F-term ポテンシャル もし なら c.f. Global SUSY like scalar potential ! こんなことが起こるのか？

6. SUGRA inflation without SUGRA corrections Chaotic inflation in SUGRA インフレーション中 M. Kawasaki, M. Yamaguchi, and T. Yanagida(2000) R. Kallosh, A. Linde, and T. Rube (2010)

6. SUGRA inflation without SUGRA corrections Chaotic inflation in SUGRA インフレーション中 M. Kawasaki, M. Yamaguchi, and T. Yanagida(2000) R. Kallosh, A. Linde, and T. Rube (2010) ① inflation trajectory によって SUGRA correction を消去

6. SUGRA inflation without SUGRA corrections No-scale model

6. SUGRA inflation without SUGRA corrections No-scale model No SUGRA corrections ② No-scale structure で SUGRA correction を消去

6. SUGRA inflation without SUGRA corrections No-scale model No SUGRA corrections ② No-scale structure で SUGRA correction を消去 V. Balasubramanian et al. (2005) apploximately No-scale model (e.g. LARGE volume scenario J. P. Conlon et al. (2005) のとき SUGRA corrections (In string theory ) Application to the tadpole problem in hybrid inflation D7-brane chaotic inflation T. Higaki, K. S. Jeong, F. Takahashi (2012) A. Hebecker, S. C. Kraus, L. T. Witkowski

6. SUGRA inflation without SUGRA corrections LVS in effective theory of 5D SUGRA Y. Sakamura and Y. Y (2013), (2014) 5D: Approximately No-scale !

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

6. SUGRA inflation without SUGRA corrections Example: chaotic inflation

6. SUGRA inflation without SUGRA corrections Simple chaotic inflation

7. Summary Supergravitational corrections = couplings between compensator and matters 全ての “compensated” term の Enhancement/Suppression effects “gravity” mediated interactions の原因 SUGRA potential without SUGRA corrections ① vanishing trajectory ② No-scale (or approximately No-scale) model

Backup slides

Effective theory of 5D SUGRA Chiral Vector Moduli (chiral)

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 !