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

By Shu-Heng Shao. 2023

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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."

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/4b29b7b00252f84d1a4e2e2c295135ed6887f21e