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High Energy Physics - Theory

arXiv:2111.04728 (hep-th)
[Submitted on 8 Nov 2021 (v1), last revised 20 Mar 2022 (this version, v2)]

Title:Outer Automorphism Anomalies

Authors:Brian Henning, Xiaochuan Lu, Tom Melia, Hitoshi Murayama
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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.
Comments: v2: 40 pages, 5 figures, 14 tables, additional references. Matches version published in JHEP
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2111.04728 [hep-th]
  (or arXiv:2111.04728v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.04728
Related DOI: https://doi.org/10.1007/JHEP02%282022%29094

Submission history

From: Xiaochuan Lu [view email]
[v1] Mon, 8 Nov 2021 18:59:59 UTC (428 KB)
[v2] Sun, 20 Mar 2022 04:49:56 UTC (448 KB)
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