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Generalization of Supergravity. General holomorphic pure supergravity and its cosmology. 19th International Summer Institute on Phenomenology of Elementary Particles and Cosmology. Takahiro Terada Univ. of Tokyo, Japan Sergei V. Ketov and TT, JHEP07(2013)127, - PowerPoint PPT Presentation
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GENERAL HOLOMORPHIC PURE SUPERGRAVITY AND
ITS COSMOLOGY
Takahiro Terada
Univ. of Tokyo, Japan
Sergei V. Ketov and TT,
JHEP07(2013)127,
arXiv:1304.4319 [hep-th]
19th International Summer Institute on Phenomenology of Elementary Particles and Cosmology
GENERALIZATION OF
SUPERGRAVITY
SUPERSYMMETRIZATION OF MODIFIED GRAVITY
Ordinary Matter; 4.90% Dark Matter; 26.80%
Dark Energy; 68.30%
Energy Density of The Universe
Ordinary Matter Dark Matter Dark Energy
𝐺𝜇𝜈=8𝜋 𝐺𝑇 𝜇𝜈
Many reasons to do that!!• pure theoretical interests• stringy/quantum corrections• potential applications to pheno• application to inflation• to embed modified gravity into
fundamental theory, etc.
Planck collaboration, arXiv:1303.5082
• A. Einstein, 1915
gravity• A. De Felice and S. Tsujikawa, Living Rev. Rel. 13
(2010) 3 and references therein.
gravity• Our work
• D. Z. Freedman, P. van Nieuwenhuizen and S. Ferrara,
Phys. Rev. D 13 (1976) 3214;• S. Deser and B. Zumino, Phys. Lett. B 62 (1976) 335.
supergravity• S.J. Gates, Jr. and S.V. Ketov, Phys. Lett. B674 (2009) 59
supergravity• Our work
Simple
General
Supersymmetrization
Bosonic sector
NEW NEW
Positioning of the work
ℒ= ∫ d2Θ 2ℰ 𝐹 (ℛ ,𝒲 )+H .c .where is a holomorphic function.
+H.c.
New action for supergravity
gravity and Inflation
𝑓 (𝑅 ,𝐶 )=𝑅− 𝑅2
6𝑀2 +𝑏𝑅𝐶𝜇𝜈𝜌𝜎𝐶𝜇𝜈𝜌𝜎
Starobinsky model + correction term () as a simple non-trivial example:
𝑉=34 𝑀
2 (1−𝑒− √2 /3𝜎+𝑏𝐶𝜇𝜈𝜌𝜎𝐶𝜇𝜈𝜌𝜎𝑒√2 /3𝜎 )2
where is the inflaton mass and is a coupling constant.
𝑆=− 12 ∫ 𝑑4𝑥 √−𝑔 𝑓 (𝑅 ,𝐶)
f(R) gravity Scalar-tensor gravity
f(R,C) gravity scalar-tensor gravity with Weyl tensor
equivalent
equivalent
~𝑏=0.05~𝑏=0.01
~𝑏=0.002~𝑏=0
02~𝑏=−0.01
~𝑏=−0.05
𝑉=34 𝑀
2 (1−𝑒− √2 /3𝜎+~𝑏𝑒√2 /3𝜎 )2
~𝑏≡𝑏𝐶𝜇𝜈𝜌𝜎𝐶𝜇𝜈𝜌𝜎
GENERAL HOLOMORPHIC PURE SUPERGRAVITY AND
ITS COSMOLOGY
Takahiro Terada
Univ. of Tokyo, Japan
Sergei V. Ketov and TT,
JHEP07(2013)127,
arXiv:1304.4319 [hep-th]
19th International Summer Institute on Phenomenology of Elementary Particles and Cosmology
ℒ= ∫ d2Θ 2ℰ 𝐹 (ℛ ,𝒲 )+H .c .SUMMARY• There are many reasons to study modified supergravity.
• We proposed a new type of action for modified gravity and supergravity.
• It’s interesting to compare the results with future CMB data.