9 papers
Classification of irreducible highest weight modules for the parafermion vertex algebras at arbitrary level
Drazen Adamovic, Qing Wang
Let be the universal parafermion vertex algebra and its simple quotient. We classify all irreducible highest weight $N^k(\mathfrak{sl}…
Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules
Dražen AdamoviÄ, Dražen Adamović, Sven Möller +1
The affine vertex operator algebras for and the Virasoro minimal models are related by Drinfeld-Sokolov reduction and by the Goddard-Kent-Olive coset construction…
Irreducibility of Certain -Modules of Wakimoto Type
Dražen AdamoviÄ, Veronika PediÄ TomiÄ
We investigate the irreducible smooth -modules recently constructed in [Adv. Math. 481 (2025), 110559, 34 pages, arXiv:2404.03855], and demonstrate tha…
Tensor category of -orbifold of Heisenberg vertex operator algebra and its applications
Drazen Adamovic, Xingjun Lin, Jinwei Yang
In this paper, we prove the category of finite length modules for the -orbifold of the Heisenberg vertex operator algebra whose simple composition factors ar…
On Kazama-Suzuki Duality between and Superconformal Vertex Algebra
Dražen AdamoviÄ, Ana Kontrec
We classify all possible occurrences of Kazama-Suzuki duality between the superconformal algebra and the subregular -algebra $\mathcal{W}_{k}(\math…
Nappi-Witten vertex operator algebra via inverse Quantum Hamiltonian Reduction
Drazen Adamovic, Andrei Babichenko
The representation theory of the Nappi-Witten VOA was initiated in arXiv:1104.3921 and arXiv:2011.14453. In this paper we use the technique of inverse quantum hamiltonian reduction…