$Sp(4,\mathbb{Z})$ modular inflation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908731873165312 |
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| author | Jiang, Si-Yi Zhao, Wenbin Ding, Gui-Jun |
| author_facet | Jiang, Si-Yi Zhao, Wenbin Ding, Gui-Jun |
| contents | We investigate inflation models governed by the Siegel modular group $Sp(4,\mathbb{Z})$. The $Sp(4,\mathbb{Z})$ group extends the $SL(2,\mathbb{Z})$ framework from one modulus to three moduli while preserving the hyperbolic geometry of the Kähler potential, allowing for the construction of cosmological $α$-attractor models. In this context, we use genus $g=2$ absolute invariants to construct inflationary potentials within specific subspaces of the Siegel moduli space. These models are driven by the imaginary components of the moduli $τ$ and naturally yield plateau-like potentials consistent with Planck 2018 observations in large field limit. We employ two-dimensional complex subspaces to realize E-model and T-model like two-field inflation scenarios. We explore the subspace of complex dimension one to construct a modified polynomial $α$-attractor model, which can accommodate the larger spectral index $n_s$ favored by recent ACT and SPT data, particularly in the larger $N$ regime. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_21597 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $Sp(4,\mathbb{Z})$ modular inflation Jiang, Si-Yi Zhao, Wenbin Ding, Gui-Jun High Energy Physics - Theory Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology We investigate inflation models governed by the Siegel modular group $Sp(4,\mathbb{Z})$. The $Sp(4,\mathbb{Z})$ group extends the $SL(2,\mathbb{Z})$ framework from one modulus to three moduli while preserving the hyperbolic geometry of the Kähler potential, allowing for the construction of cosmological $α$-attractor models. In this context, we use genus $g=2$ absolute invariants to construct inflationary potentials within specific subspaces of the Siegel moduli space. These models are driven by the imaginary components of the moduli $τ$ and naturally yield plateau-like potentials consistent with Planck 2018 observations in large field limit. We employ two-dimensional complex subspaces to realize E-model and T-model like two-field inflation scenarios. We explore the subspace of complex dimension one to construct a modified polynomial $α$-attractor model, which can accommodate the larger spectral index $n_s$ favored by recent ACT and SPT data, particularly in the larger $N$ regime. |
| title | $Sp(4,\mathbb{Z})$ modular inflation |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.21597 |