Outer automorphism anomalies

Year: 2022

Type: article

Abstract: A bstract We discuss anomalies associated with outer automorphisms in gauge theories based on classical groups, namely charge conjugations for SU( N ) and parities for SO(2 r ). We emphasize the inequivalence (yet related by a flavor transformation) between two versions of charge conjugation for SU(2 k ), SO(2 r ), 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2022)094

Authors: Brian Henning, Xiaochuan Lu, Tom Melia, Hitoshi Murayama

Institutions: University of Geneva, École Polytechnique Fédérale de Lausanne, University of Oregon, Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo, Lawrence Berkeley National Laboratory, University of California, Berkeley

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, U.S. Department of Energy, National Centres of Competence in Research SwissMAP, Ministry of Education, Culture, Sports, Science and Technology, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Office of Science, Japan Society for the Promotion of Science, High Energy Physics

OpenAlex ID: W3211350136