$SL(2,\mathbb{Z})$ Cosmological Attractors
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914968888147968 |
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| author | Kallosh, Renata Linde, Andrei |
| author_facet | Kallosh, Renata Linde, Andrei |
| contents | 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 |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_05203 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $SL(2,\mathbb{Z})$ Cosmological Attractors Kallosh, Renata Linde, Andrei High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology 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 |
| title | $SL(2,\mathbb{Z})$ Cosmological Attractors |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.05203 |