Symmetry enhancement in RCFT
High Energy Physics - Theory
2022-06-23 v5 Statistical Mechanics
Category Theory
Abstract
We propose when and why symmetry enhancements happen in massless renormalization group (RG) flows to two-dimensional rational conformal field theories (RCFTs). We test our proposal against known RG flows from unitary minimal models. We also suggest which sign of the relevant coupling triggers the massless RG flow. The other sign triggers massive RG flows to topological quantum field theories (TQFTs). We comment on their ground state degeneracies.
Keywords
Cite
@article{arxiv.2109.02672,
title = {Symmetry enhancement in RCFT},
author = {Ken Kikuchi},
journal= {arXiv preprint arXiv:2109.02672},
year = {2022}
}
Comments
11 pages + Appendices; v2: reference and comment added; v3: added explicit comment on "naturalness," and fixed typo; v4: fixed braiding matrices and typos, results unchanged, a reference added; v5: fixed identifications of TDLs, results unchanged