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arXiv 2012.095862020-12hep-thhep-ph

Siegel modular flavor group and CP from string theory

Alexander Baur, Moritz Kade, Hans Peter Nilles, Saul Ramos-Sanchez, Patrick K. S. Vaudrevange

备注：: 18 pages, 1 figure, 1 table; v2: some statements in the conclusions clarified, matches version published in PLB
DOI：: 10.1016/j.physletb.2021.136176

英文摘要：

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

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