A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998 [Sel. Math. 6(1), 105-130 (2000)]. In a nutshell, a quantum vertex algebra is a braided state-field correspondence that satisfies associativity and braided locality axioms. We develop a structure theory of quantum vertex algebras, parallel to that of vertex algebras. In particular, we introduce braided n-products for a braided state-field correspondence and prove for quantum vertex algebras a version of the Borcherds identity.
On the structure of quantum vertex algebras / De Sole, A.; Gardini, M.; Kac, V. G.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 61:1(2020), p. 011701. [10.1063/1.5121626]
On the structure of quantum vertex algebras
De Sole A.;
2020
Abstract
A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998 [Sel. Math. 6(1), 105-130 (2000)]. In a nutshell, a quantum vertex algebra is a braided state-field correspondence that satisfies associativity and braided locality axioms. We develop a structure theory of quantum vertex algebras, parallel to that of vertex algebras. In particular, we introduce braided n-products for a braided state-field correspondence and prove for quantum vertex algebras a version of the Borcherds identity.| File | Dimensione | Formato | |
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