Siegel modular flavor group and CP from string theory Article Swipe

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Physics Compactification (mathematics) Homogeneous space String theory Moduli space Group (periodic table) Modular group Grand Unified Theory Mathematical physics Symmetry group Combinatorics Supersymmetry Geometry Pure mathematics Quantum mechanics Mathematics

Alexander Baur , Moritz Kade , Hans Peter Nilles , Saúl Ramos–Sánchez , Patrick K.S. Vaudrevange ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.1016/j.physletb.2021.136176 · OA: W3111407421

We derive the potential modular symmetries of heterotic string theory. For a\ntoroidal compactification with Wilson line modulus, we obtain the Siegel\nmodular group $\\mathrm{Sp}(4,\\mathbb{Z})$ that includes the modular symmetries\n$\\mathrm{SL}(2,\\mathbb{Z})_T$ and $\\mathrm{SL}(2,\\mathbb{Z})_U$ (of the\n"geometric" moduli $T$ and $U$) as well as mirror symmetry. In addition, string\ntheory provides a candidate for a CP-like symmetry that enhances the Siegel\nmodular group to $\\mathrm{GSp}(4,\\mathbb{Z})$.\n