On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras

Thursday August 22nd, 2019 Rafael Mrđen 0

Authors: Dražen Adamović, Ching Hung Lam, Veronika Pedić, Nina Yu Journal of Algebra, Volume 539, 1 December 2019, Pages 1-23 https://doi.org/10.1016/j.jalgebra.2019.08.007 Abstract: We extend the Dong-Mason theorem on irreducibility of modules for orbifold vertex algebras (cf. [18]) to the category of weak modules. Let V be a vertex operator algebra, g an automorphism of order p. Let W be an irreducible weak V–module such […]

On fusion rules and intertwining operators for the Weyl vertex algebra

Wednesday August 7th, 2019 Rafael Mrđen 0

Authors: Dražen Adamović, Veronika Pedić Journal of Mathematical Physics 60, 081701 (2019); https://doi.org/10.1063/1.5098128 Abstract: In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way, we […]