3 papers
math.QA2024
On Kazama-Suzuki Duality between and Superconformal Vertex Algebra
Dražen Adamović, Ana Kontrec
We classify all possible occurrences of Kazama-Suzuki duality between the superconformal algebra and the subregular -algebra $\mathcal{W}_{k}(\math…
math.QA2020
Bershadsky-Polyakov vertex algebras at positive integer levels and duality
Drazen Adamovic, Ana Kontrec
We study the simple Bershadsky-Polyakov algebra at positive integer levels and classify their irreducible modules. In this way we confirm t…
math.QA2019
Classification of irreducible modules for Bershadsky-Polyakov algebra at certain levels
Drazen Adamovic, Ana Kontrec
We study the representation theory of the Bershadsky-Polyakov algebra . In particular, Zhu algebra of is isomorphic to a cert…