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arXiv · 1804.01108

Gauge theories from principally extended disconnected gauge groups

Antoine Bourget·Alessandro Pini·Diego Rodriguez-Gomez
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Abstract

We introduce gauge theories based on a class of disconnected gauge groups, called principal extensions. Although in this work we focus on 4d theories with N=2 SUSY, such construction is independent of spacetime dimensions and supersymmetry. These groups implement in a consistent way the discrete gauging of charge conjugation, for arbitrary rank. Focusing on the principal extension of SU(N), we explain how many of the exact methods for theories with 8 supercharges can be put into practice in that context. We then explore the physical consequences of having a disconnected gauge group: we find that the Coulomb branch is generically non-freely generated, and the global symmetry of the Higgs branch is modified in a non-trivial way.

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Antoine Bourget, Alessandro Pini, Diego Rodriguez-Gomez. 2019-02-22. Gauge theories from principally extended disconnected gauge groups. https://doi.org/10.1016/j.nuclphysb.2019.02.004

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