Document detail
ID
oai:arXiv.org:2408.05203
Topic
High Energy Physics - Theory Astrophysics - Cosmology and Nonga... General Relativity and Quantum Cos... High Energy Physics - Phenomenolog...Author
Kallosh, Renata Linde, AndreiCategory
sciences: astrophysics
Year
2024
listing date
10/16/2024
Keywords
potentials $ $sl \mathbb{z}Abstract
We study cosmological theory where the kinetic term and potential have $SL(2,\mathbb{Z})$ symmetry.
Potentials have a plateau at large values of the inflaton field, where the axion forms a flat direction.
Due to the underlying hyperbolic geometry and special features of $SL(2,\mathbb{Z})$ potentials, the theory exhibits an $\alpha$-attractor behavior: its cosmological predictions are stable with respect to significant modifications of the $SL(2,\mathbb{Z})$ invariant potentials.
We present a supersymmetric version of this theory in the framework of $\overline {D3}$ induced geometric inflation.
The choice of $\alpha$ is determined by underlying string compactification.
For example, in a CY compactification with $T^2$, one has $3\alpha=1$, the lowest discrete Poincar\'e disk target for LiteBIRD ;Comment: 20p, 10 Figs. 1 section and 1 figure added, references added
Kallosh, Renata,Linde, Andrei, 2024, $SL(2,\mathbb{Z})$ Cosmological Attractors
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