Meromorphic tensor categories

Abstract

We introduce the notion of meromorphic tensor category and illustrate it in several examples. They include representations of quantum affine algebras, chiral algebras of Beilinson and Drinfeld, G-vertex algebras of Borcherds, and representations of GL over a local field. Hopefully the formalism will accomodate various tensor structures arising in relation to the quantized Knizhnik-Zamolodchikov equations and deformed CFT

23 pages, plain latex

References in corpus (1)

• Towards Deformed Chiral Algebras

Cited by in corpus (10)

• Supersymmetric gauge theory and the Yangian
• Operads in Higher-Dimensional Category Theory
• Conformal field theory, boundary conditions and applications to string theory
• Structures in higher-dimensional category theory
• General Operads and Multicategories
• Generalized Enrichment for Categories and Multicategories
• Equivalence of Borcherds G-Vertex Algebras and Axiomatic Vertex Algebras
• On the Killing form of Lie Algebras in Symmetric Ribbon Categories
• Parabolic induction and perverse sheaves on h/W
• Defects in Spin Chains via Cluster Categories