A Goldstone theorem for continuous non-invertible symmetries

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Publication:6056971

DOI10.1007/JHEP09(2023)145arXiv2211.09570OpenAlexW4386925584MaRDI QIDQ6056971

Author name not available (Why is that?)

Publication date: 25 October 2023

Published in: (Search for Journal in Brave)

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 U(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.


Full work available at URL: https://arxiv.org/abs/2211.09570



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