On the applicability of logarithmic tensor category theory
arXiv:1702.00133
Abstract
We give results and observations which allow the application of the logarithmic tensor category theory of Lepowsky, Zhang and the author ([HLZ1]--[HLZ9]) to more general vertex (operator) algebras and their module categories than those studied in a paper by the author ([H3]).
arXiv comment9 pages
References in corpus (7)
- Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators
- Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
- Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra
- Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition
- Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps
- Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors
- Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions
Cited by in corpus (9)
- Braided tensor categories of admissible modules for affine Lie algebras
- Bosonic ghostbusting -- The bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion
- A construction of lower-bounded generalized twisted modules for a grading-restricted vertex (super)algebra
- A general mirror equivalence theorem for coset vertex operator algebras
- Tensor Categories arising from the Virasoro Algebra
- Affine Lie algebras and tensor categories
- Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson
- Generators, spanning sets and existence of twisted modules for a grading-restricted vertex (super)algebra
- Representation theory of vertex operator algebras and orbifold conformal field theory