%0 Journal Article
%T Rationality of Bershadsky-Polyakov vertex algebras
%A Tomoyuki Arakawa
%J Mathematics
%D 2010
%I arXiv
%X 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 $W_3^{(2)}$ at level $k=p/2-3$ with $p=3,5,7,...$. This gives new examples of rational conformal field theories.
%U http://arxiv.org/abs/1005.0185v4