Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

2011/10/10 by Yi-Zhi Huang, Huang, Yi-Zhi, James Lepowsky +3 · 3 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1110.1931

openalex publication_date 2011/10/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This is the eighth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part VIII), we construct the braided tensor category structure, using the previously developed results.

Citations

• Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps
• Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions

Cited by

• Differential equations for intertwining operators among untwisted and twisted modules
• C₁-cofiniteness and vertex tensor categories
• Reflection Equivariance and the Heisenberg Picture for Spaces of Conformal Blocks

Related

• Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules
• Logarithmic tensor product theory for generalized modules for a conformal vertex algebra
• Logarithmic tensor product theory for generalized modules for a conformal vertex algebra, Part I
• On the applicability of logarithmic tensor category theory
• Representations of vertex operator algebras and braided finite tensor categories