A Goldstone theorem for continuous non-invertible symmetries

Etxebarria, Iñaki García; Iqbal, Nabil

Abstract

We study systems with an Adler-Bell-Jackiw anomaly in terms of non-invertible symmetry. We present a new kind of non-invertible charge defect where a key role is played by a local current operator localized on the defect. The charge defects are now labeled by elements of a continuous (1). We use this construction to prove an analogue of Goldstone’s theorem for such non-invertible symmetries. We comment on possible applications to string theory.

Citation

Etxebarria, I. G., & Iqbal, N. (2023). A Goldstone theorem for continuous non-invertible symmetries. Journal of High Energy Physics, 2023(9), Article 145. https://doi.org/10.1007/jhep09%282023%29145

• Journal Article Type: Article
• Acceptance Date: Sep 18, 2023
• Online Publication Date: Sep 21, 2023
• Publication Date: 2023
• Deposit Date: Sep 22, 2023
• Publicly Available Date: Sep 22, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 9
• Article Number: 145
• DOI: https://doi.org/10.1007/jhep09%282023%29145
• Keywords: Global Symmetries, Chern-Simons Theories, Brane Dynamics in Gauge Theories
• Public URL: https://durham-repository.worktribe.com/output/1746255
• Related Public URLs: https://doi.org/10.48550/arXiv.2211.09570