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Title:
Representation theory for non-invertible symmetries and asymptotic density of states
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Abstract:
We find the appropriate notion of representation for non-invertible symmetries needed to derive selection rules on correlation functions. We use this understanding to derive a Cardy-like formula for 2d CFTs with a finite non-invertible symmetry. More specifically, we derive a universal formula for the asymptotic density of states transforming in an irreducible representation of a non-invertible symmetry.
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