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 […]
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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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Authors: Butorac Marijana, Sadowski Christopher New York Journal of Mathematics, Volume 25 (2019), 71-106 http://nyjm.albany.edu/j/2019/25-3.html Abstract: We construct combinatorial bases of principal subspaces of standard modules of level with highest weight for the twisted affine Lie algebras of type , , and . Using these bases we directly calculate characters of […]
Authors: Mirko Primc, Tomislav Šikić The Ramanujan Journal, pp 1–35. https://doi.org/10.1007/s11139-018-0052-5 Abstract: In this paper, we give a combinatorial parametrization of leading terms of defining relations for the vacuum level standard modules for the affine Lie algebra of type . Using this parametrization, we conjecture colored Rogers–Ramanujan type combinatorial identities for and ; the identity […]
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