Quasi Modules for the Quantum Affine Vertex Algebra in Type A
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DOI: 10.1007/s00220-019-03291-0
Abstract: We consider the quantum affine vertex algebra $${\mathcal{V}_{c}(\mathfrak{gl}_N)}$$Vc(glN) associated with the rational R-matrix, as defined by Etingof and Kazhdan. We introduce certain subalgebras $${\textrm{A}_c (\mathfrak{gl}_N)}$$Ac(glN) of the completed double Yangian $${\widetilde{\textrm{DY}}_{c}(\mathfrak{gl}_N)}$$DY~c(glN) at the level $${c\in\mathbb{C}}$$c∈C,… read more here.
Keywords: affine vertex; vertex algebra; mathfrak gln; quantum affine ... See more keywords
On classification of conformal vectors in vertex operator algebra and the vertex algebra automorphism group
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DOI: 10.1016/j.jalgebra.2019.10.021
Abstract: Abstract Herein we study conformal vectors of a Z -graded vertex algebra of (strong) CFT type. We prove that the full vertex algebra automorphism group transitively acts on the set of the conformal vectors of… read more here.
Keywords: vertex; algebra automorphism; vertex algebra; automorphism group ... See more keywords
Principal subspaces for the quantum affine vertex algebra in type A1(1)
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DOI: 10.1016/j.jpaa.2021.106973
Abstract: By using the ideas of Feigin and Stoyanovsky and Calinescu, Lepowsky and Milas we introduce and study the principal subspaces associated with the Etingof-Kazhdan quantum affine vertex algebra of integer level $k\geqslant 1$ and type… read more here.
Keywords: affine vertex; principal subspaces; vertex algebra; quantum affine ... See more keywords