Principal subspaces of twisted modules for certain lattice vertex operator algebras

2018/04/24 by Penn, Michael, Sadowski, Christopher, Webb, Gautam
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1804.09230

Abstract

This is the third in a series of papers studying the vertex-algebraic structure of principal subspaces of twisted modules for lattice vertex operator algebras. We focus primarily on lattices L whose Gram matrix contains only non-negative entries. We develop further ideas originally presented by Calinescu, Lepowsky, and Milas to find presentations (generators and relations) of the principal subspace of a certain natural twisted module for the vertex operator algebra V_L. We then use these presentations to construct exact sequences involving this principal subspace, which give a set of recursions satisfied by the multigraded dimension of the principal subspace and allow us to find the multigraded dimension of the principal subspace.

Related

• Automorphism Groups and Twisted Modules for Lattice Vertex Operator Algebras
• Vertex-algebraic structure of principal subspaces of standard\n A₂⁽²⁾-modules, I
• Introduction to vertex operator algebras I
• Presentations of the principal subspaces of the higher-level standard \widehat\mathfraksl(3)-modules
• Twisted modules and quasi-modules for vertex operator algebras