What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
High Energy Physics - Theory
2024-04-02 v2 Strongly Correlated Electrons
High Energy Physics - Phenomenology
Category Theory
Quantum Algebra
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."
Keywords
Cite
@article{arxiv.2308.00747,
title = {What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries},
author = {Shu-Heng Shao},
journal= {arXiv preprint arXiv:2308.00747},
year = {2024}
}
Comments
95 pages. Many figures, tables, Lagrangians, and Hamiltonians, with a hint of category theory. v2: minor changes