The absence of global anomalies of CP symmetry

Fuente: arXiv
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Autore principale: Yonekura, Kazuya
Natura: Preprint
Pubblicazione: 2026
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author Yonekura, Kazuya
author_facet Yonekura, Kazuya
contents Some solutions to the strong CP problem assume that CP symmetry is a gauge symmetry, which is then spontaneously broken. For this scenario to be possible, the CP symmetry should not have any nonperturbative (global) anomalies. In this paper, we study anomalies of CP symmetry of fermions which are coupled to gravity and gauge fields with a gauge group $G$. When $G$ is connected and simply connected, we show that gauging a CP symmetry does not produce any new anomaly beyond the one before gauging it. In particular, the standard model matter content does not have anomalies.
format Preprint
id arxiv_https___arxiv_org_abs_2602_11475
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The absence of global anomalies of CP symmetry
Yonekura, Kazuya
High Energy Physics - Phenomenology
High Energy Physics - Theory
Some solutions to the strong CP problem assume that CP symmetry is a gauge symmetry, which is then spontaneously broken. For this scenario to be possible, the CP symmetry should not have any nonperturbative (global) anomalies. In this paper, we study anomalies of CP symmetry of fermions which are coupled to gravity and gauge fields with a gauge group $G$. When $G$ is connected and simply connected, we show that gauging a CP symmetry does not produce any new anomaly beyond the one before gauging it. In particular, the standard model matter content does not have anomalies.
title The absence of global anomalies of CP symmetry
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2602.11475