Gauge theories from principally extended disconnected gauge groups

Gauge theories from principally extended disconnected gauge groups
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来自主要扩展的不连续规范组的规范理论

DOI:
10.1016/j.nuclphysb.2019.02.004
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发表时间:
2018
期刊:
影响因子:
2.8
通讯作者:
D. Rodríguez
D. Rodríguez
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
A. Bourget;A. Pini;D. Rodríguez

文献摘要

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我们介绍了基于一类被称为主扩展的非连通规范群的规范理论。虽然在这项工作中,我们关注的是具有N= 2 SUSY的4d理论,但这种构造与时空维度和超对称性无关。这些群以一致的方式实现了任意秩的电荷共轭的离散测量。着重于SU (N)的主扩展,我们解释了在这种情况下,有多少具有8个增压的理论的确切方法可以付诸实践。然后,我们探索了有一个断开规范群的物理后果:我们发现库仑分支一般是非自由产生的,希格斯分支的全局对称性以一种非平凡的方式被修改。
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.