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.