Nonmeromorphic operator product expansion andC2-cofiniteness for a family of -algebras

2005/08/31 by Nils Carqueville, Michael Flohr · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th #math-ph #math.MP #math.QA #msc:17B69 #msc:81R10 #msc:81T40

paper · pdf · doi:10.1088/0305-4470/39/4/015

published as J.Phys. A39 (2006) 951-966 · 21 pages, to appear in J. Phys. A: Math. Gen.; the exposition is improved and one reference is added

arxiv created 2005/12/05 · openalex publication_date 2006/01/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove the existence and associativity of the nonmeromorphic operator product expansion for an infinite family of vertex operator algebras, the triplet W-algebras, using results from P(z)-tensor product theory. While doing this, we also show that all these vertex operator algebras are C₂-cofinite.

Citations

• A Z₂-orbifold model of the symplectic fermionic vertex operator superalgebra
• On Reducible but Indecomposable Representations of the Virasoro Algebra
• Rationality, Quasirationality and Finite W-Algebras

Cited by

• Logarithmic tensor product theory for generalized modules for a conformal vertex algebra, Part I
• The logarithmic triplet theory with boundary