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What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Published 1 Aug 2023 in hep-th, cond-mat.str-el, hep-ph, math.CT, and math.QA | (2308.00747v2)

Abstract: We survey recent developments in a novel kind of generalized global symmetry, the non-invertible symmetry, in diverse spacetime dimensions. We start with several different but related constructions of the non-invertible Kramers-Wannier duality symmetry in the Ising model, and conclude with a new interpretation for the neutral pion decay and other applications. These notes are based on lectures given at the TASI 2023 summer school "Aspects of Symmetry."

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