Leader: Prof. Pavle Pandžić
Authors: Dražen Adamović, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše Advances in Mathematics, Volume 360, 22 January 2020, 106918 https://doi.org/10.1016/j.aim.2019.106918 Abstract: This paper is a natural continuation of our previous work on conformal embeddings of vertex algebras [6], [7], [8]. Here we consider conformal embeddings in simple affine vertex superalgebra where is a basic classical simple Lie superalgebra. Let be the subalgebra […]
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 […]
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 […]
Author: Dražen Adamović Communications in Mathematical Physics, pp 1–43 https://doi.org/10.1007/s00220-019-03328-4 Abstract: We study the embeddings of the simple admissible affine vertex algebras and , into the tensor product of rational Virasoro and N = 1 Neveu–Schwarz vertex algebra with lattice vertex algebras. By using these realizations we construct a family of weight, […]
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