Field Algebras

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Bojko Bakalov , Victor G. Kac This is my paper · ORCID

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keywords fieldalgebraalgebrasdevelopfoundationsgeneralizationnon-commutativetheory

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A field algebra is a ``non-commutative'' generalization of a vertex algebra. In this paper we develop foundations of the theory of field algebras.

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On the quantum affine vertex algebra associated with trigonometric $R$-matrix
math.QA 2019-08 conditional novelty 7.0 of 10

Restricted modules for the quantum affine algebra in type A are equivalent, with submodule correspondence, to phi-coordinated modules for the Etingof-Kazhdan quantum affine vertex algebra with phi(z2,z0)=z2 e^{z0}.