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.
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Acknowledgments
We thank Mohamed Anber, Ben Heidenreich, Arpit Das, Avner Karasik, Miguel Montero, Napat Poovuttikul, and Tin Sulejmanpasic for discussions. Both authors are supported by the STFC consolidated grant ST/T000708/1, and I.G.E is additionally supported by the Simons Foundation via the Simons Collaboration on Global Categorical Symmetries.
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Etxebarria, I.G., Iqbal, N. A Goldstone theorem for continuous non-invertible symmetries. J. High Energ. Phys. 2023, 145 (2023). https://doi.org/10.1007/JHEP09(2023)145
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DOI: https://doi.org/10.1007/JHEP09(2023)145