Twist vertex operators for twisted modules
Quantum Algebra
2019-08-28 v2 High Energy Physics - Theory
Representation Theory
Abstract
We introduce and study twist vertex operators for a (lower-bounded generalized) twisted modules for a grading-restricted vertex (super)algebra. We prove duality, weak associativity, a Jacobi identity, a generalized commutator formula, generalized weak commutativity, and convergence and commutativity for products of more than two operators involving twist vertex operators. These properties of twist vertex operators play an important role in the author's recent general, direct and explicit construction of (lower-bounded generalized) twisted modules.
Cite
@article{arxiv.1902.09734,
title = {Twist vertex operators for twisted modules},
author = {Yi-Zhi Huang},
journal= {arXiv preprint arXiv:1902.09734},
year = {2019}
}
Comments
28 pages. Some typos corrected. Final version to appear in Journal of Algebra