Chiral algebras of class S
High Energy Physics - Theory
2022-08-22 v2 Quantum Algebra
Representation Theory
Abstract
Four-dimensional N=2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we explore the chiral algebras that arise in this manner in the context of theories of class S. The class S duality web implies nontrivial associativity properties for the corresponding chiral algebras, the structure of which is best summarized in the language of generalized topological quantum field theory. We make a number of conjectures regarding the chiral algebras associated to various strongly coupled fixed points.
Keywords
Cite
@article{arxiv.1408.6522,
title = {Chiral algebras of class S},
author = {Christopher Beem and Wolfger Peelaers and Leonardo Rastelli and Balt C. van Rees},
journal= {arXiv preprint arXiv:1408.6522},
year = {2022}
}
Comments
47+15 pages, 9 figures, 6 tables. v2: Conjecture 1 modified to accommodate new data. Some typos corrected