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Title:
Universal Non-Invertible Symmetries
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Abstract:
It is well-known that gauging a finite 0-form symmetry group G in a quantum field theory leads to a dual symmetry generated by topological Wilson line defects. I will argue that one also obtains other dual symmetries described by higher-dimensional topological defects, which are generically non-invertible. The dual topological surface defects can all be shown to be condensation defects obtained by higher-gauging the dual topological Wilson line defects. The dual topological surfaces and lines form a 2-category 2Rep(G) which is the 2-category of 2-representations of G. I will also discuss the dual symmetries obtained by gauging a finite 2-group symmetry. In this case, not all dual topological surface defects are condensation defects and the 2-category formed by dual topological surfaces and lines can be recognized as the 2-category of 2-representations of the 2-group. These 2-categories describe symmetries of gauge theories with continuous disconnected gauge groups in various spacetime dimensions.
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