Bershadsky-Polyakov vertex algebras at positive integer levels and duality

Drazen Adamovic, Ana Kontrec

We study the simple Bershadsky-Polyakov algebra ${\mathcal{W}}_k={\mathcal{W}}_k(s{l}_3,f_{\theta })$ at positive integer levels and classify their irreducible modules. In this way we confirm t…