Classification of irreducible modules for the vertex operator algebra V_L⁺: General case

2002/10/17 by T. Abe, C. Dong, Abe, T. +1 · 2 citations
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0210274

Latex 30 pages

arxiv created 2002/10/17 · arxiv updated 2009/11/30

Abstract

The irreducible modules for the fixed point vertex operator subalgebra V_L⁺ of the vertex operator algebra V_L associated to an arbitrary positive definite even lattice L under the automorphism lifted from the -1 isometry of L are classified.

Cited by

• Generalized Symmetries From Fusion Actions
• The Order of the Monster Finite Simple Group

Related

• Classification of irreducible modules for the vertex operator algebra M(1)⁺, II: higher rank
• Classification of irreducible modules for the vertex operator algebra M(1)⁺
• Rationality of the vertex operator algebra V_L⁺ for a positive definite even lattice L
• Classification of irreducible modules of the vertex algebra V_L⁺ when L is a nondegenerate even lattice of an arbitrary rank
• The Automorphism Group of the Vertex Operator Algebra V_L⁺ for an even lattice L without roots