IAS High Energy Theory Seminar
Non-Invertible Symmetries and their Representations
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This seminar will be presented in-person and on Zoom.
https://theias.zoom.us/j/84232389159?pwd=UAWukoEv3RMKL8ssHZ2nUfIwggISU7.1
Abstract: In the first half of the talk, I will review the notion of non-invertible symmetries and how they help us to analyze certain strongly coupled QFTs like 2d Adjoint QCD. Then, I discuss the representation theory of non-invertible symmetries and use it to derive selection rules on correlation functions of local operators. Using this understanding, I drive a Cardy-like formula in 2d CFTs with a finite non-invertible symmetry. More precisely, we find the asymptotic density of states transforming under an irreducible representation of a non-invertible symmetry.