A theory of tensor products for module categories for a vertex operator algebra, II

1993/09/30 by Huang, Yi-Zhi, Lepowsky, James
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.hep-th/9309159

Abstract

This is the second part in a series of papers presenting a theory of tensor products for module categories for a vertex operator algebra. In Part I (hep-th/9309076), the notions of P(z)- and Q(z)-tensor product of two modules for a vertex operator algebra were introduced and under a certain hypothesis, two constructions of a Q(z)-tensor product were given, using certain results stated without proof. In Part II, the proofs of those results are supplied.

Related

• A theory of tensor products for module categories for a vertex operator algebra, I
• Tensor products of modules for a vertex operator algebra and vertex tensor categories
• Tensor product of modules over a vertex algebra
• Representation theory and tensor product theory for vertex operator algebras
• Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions