Continuous generalized symmetries in three dimensions
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Publication:6163171
DOI10.1007/JHEP05(2023)164arXiv2206.14093OpenAlexW4377157729MaRDI QIDQ6163171
Author name not available (Why is that?)
Publication date: 26 June 2023
Published in: (Search for Journal in Brave)
Abstract: We present a class of three-dimensional quantum field theories whose ordinary global symmetries mix with higher-form symmetries to form a continuous 2-group. All these models can be obtained by performing a gauging procedure in a parent theory revealing a 't Hooft anomaly in the space of coupling constants when suitable compact scalar background fields are activated. Furthermore, the gauging procedure also implies that our main example has infinitely many non-invertible global symmetries. These can be obtained by dressing the continuous symmetry operators with topological quantum field theories. Finally, we comment on the holographic realization of both 2-group global symmetries and non-invertible symmetries discussed here by introducing a corresponding four-dimensional bulk description in terms of dynamical gauge fields.
Full work available at URL: https://arxiv.org/abs/2206.14093
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