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arXiv · 1904.07546

Modular symmetry anomaly in magnetic flux compactification

Yuki Kariyazono·Tatsuo Kobayashi·Shintaro Takada·Shio Tamba·Hikaru Uchida
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Abstract

We study modular symmetry anomalies in four-dimensional low-energy effective field theory, which is derived from six-dimensional supersymmetric $U(N)$ Yang-Mills theory by magnetic flux compactification. The gauge symmetry $U(N)$ is broken to $U(N_a) \times U(N_b)$ by magnetic fluxes. It is found that Abelian subgroup of the modular symmetry corresponding to discrete part of $U(1)$ can be anomalous, but other elements independent of $U(1)$ in the modular symmetry are always anomaly-free.

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Yuki Kariyazono, Tatsuo Kobayashi, Shintaro Takada, Shio Tamba, Hikaru Uchida. 2019-04-16. Modular symmetry anomaly in magnetic flux compactification. https://doi.org/10.1103/physrevd.100.045014

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