Rationality of Bershadsky-Polyakov vertex algebras
Quantum Algebra
2016-08-11 v4 High Energy Physics - Theory
Representation Theory
Abstract
We prove the conjecture of Kac-Wakimoto on the rationality of exceptional W-algebras for the first non-trivial series, namely, for the Bershadsky-Polyakov vertex algebras at level with . This gives new examples of rational conformal field theories.
Keywords
Cite
@article{arxiv.1005.0185,
title = {Rationality of Bershadsky-Polyakov vertex algebras},
author = {Tomoyuki Arakawa},
journal= {arXiv preprint arXiv:1005.0185},
year = {2016}
}
Comments
To appear in Comm. Math. Phys