Scientific article
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Outer automorphism anomalies

Published inThe journal of high energy physics, vol. 2022, no. 2, 94
Publication date2022
First online date2022-02-11
Abstract

We discuss anomalies associated with outer automorphisms in gauge theories based on classical groups, namely charge conjugations for SU(N ) and parities for SO(2r). We emphasize the inequivalence (yet related by a flavor transformation) between two versions of charge conjugation for SU(2k), SO(2r), and E$_{6}$ symmetries. The subgroups that commute with the outer automorphisms are identified. Some charge conjugations can lead to a paradox, which is resolved by the observation that they are anomalous and hence not symmetries. We then discuss anomaly matching conditions that involve the charge conjugations or parities. Interesting examples are given where the charge conjugation is spontaneously broken.

Keywords
  • Anomalies in Field and String Theories
  • Discrete Symmetries
  • Duality in Gauge Field Theories
  • Nonperturbative Effects
  • Charge conjugation
  • Spontaneous symmetry breaking
  • Parity: symmetry
  • Anomaly
  • Gauge field theory
  • Group theory
  • Duality
  • SU(N)
  • SO(2N)
Citation (ISO format)
HENNING, Brian et al. Outer automorphism anomalies. In: The journal of high energy physics, 2022, vol. 2022, n° 2, p. 94. doi: 10.1007/jhep02(2022)094
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Additional URL for this publicationhttps://link.springer.com/10.1007/JHEP02(2022)094
Journal ISSN1029-8479
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