A Goldstone theorem for continuous non-invertible symmetries

Iñaki García Etxebarria; Nabil Iqbal

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arXiv · 2211.09570

A Goldstone theorem for continuous non-invertible symmetries

Iñaki García Etxebarria·Nabil Iqbal

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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.

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Iñaki García Etxebarria, Nabil Iqbal. 2022-11-17. A Goldstone theorem for continuous non-invertible symmetries. https://arxiv.org/abs/2211.09570

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