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arXiv · 1804.09230

Principal subspaces of twisted modules for certain lattice vertex operator algebras

Michael Penn·Christopher Sadowski·Gautam Webb
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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.

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Michael Penn, Christopher Sadowski, Gautam Webb. 2018-04-24. Principal subspaces of twisted modules for certain lattice vertex operator algebras. https://arxiv.org/abs/1804.09230

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