Modular symmetry anomaly in magnetic flux compactification Article Swipe

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compactification (mathematics) physics discrete symmetry modular invariance abelian group gauge theory symmetry (geometry) theoretical physics global symmetry u-1 mathematical physics modular design quantum mechanics pure mathematics symmetry breaking mathematics spontaneous symmetry breaking geometry homogeneous space computer science operating system

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

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1103/physrevd.100.045014 · OA: W2939080154

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