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Outer Automorphism Anomalies

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arxiv 2111.04728 v2 pith:2ENTVX4D submitted 2021-11-08 hep-th hep-ph

Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama This is my paper · ORCID
classification hep-thhep-ph
keywords chargeconjugationsouteranomaliesautomorphismsconjugationdiscussparities
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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.

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  1. AMSB in Truly Confining Gauge Theories

    hep-th 2026-08 conditional novelty 6.0 of 10

    Adding small AMSB to t-confining SUSY gauge theories moves the ground state to a superpotential branch and predicts discrete and flavor symmetry breaking such as Z6 to Z2 and Z16 x SU(2) to SO(2).

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