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

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arxiv hep-th/9309159 v2 pith:KV7Q4ILF submitted 1993-09-30 hep-th math.QA

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keywords tensoralgebraoperatorpartvertexcategoriescertainmodule
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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.

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  1. Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging

    hep-th 2026-07 accept novelty 7.0 of 10

    Chiral tube algebras unify chiral algebras and TDLs by acting on twisted defect spaces via local and non-local currents, with modules isomorphic to twisted modules of the parent algebras.

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