Rationality of Bershadsky-Polyakov vertex algebras
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 W3(2) at level k=p/2-3 with p=3,5,7,.... This gives new examples of rational conformal field theories.
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