Siegel modular flavor group and CP from string theory

Siegel modular flavor group and CP from string theory

We derive the potential modular symmetries of heterotic string theory. For a toroidal compactification with Wilson line modulus, we obtain the Siegel modular group Sp(4,Z) that includes the modular symmetries SL(2,Z)T and SL(2,Z)U (of the “geometric” moduli T and U) as well as mirror symmetry. In ad...

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Bibliographic Details
Main Authors: Alexander Baur, Moritz Kade, Hans Peter Nilles, Saúl Ramos-Sánchez, Patrick K.S. Vaudrevange
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321001167
Description
Summary:We derive the potential modular symmetries of heterotic string theory. For a toroidal compactification with Wilson line modulus, we obtain the Siegel modular group Sp(4,Z) that includes the modular symmetries SL(2,Z)T and SL(2,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 GSp(4,Z).
ISSN:0370-2693

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