Year: 2024
Type: preprint
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 $α$-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 $α$ is determined by underlying string compactification. For example, in a CY compactification with $T^2$, one has $3α=1$, the lowest discrete Poincaré disk target for LiteBIRD
Source: arXiv (Cornell University)
Authors: Kallosh, Renata, Linde, Andrei
Institution: Stanford University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4402386411