The algebraic structure of relative twisted vertex operators
q-alg
2008-02-03 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
Twisted vertex operators based on rational lattices have had many applications in vertex operator algebra theory and conformal field theory. In this paper, ``relativized'' twisted vertex operators are constructed in a general context based on isometries of rational lattices, and a generalized twisted Jacobi identity is established for them. This result generalizes many previous results. Relatived untwisted vertex operators had been studied in a monograph by the authors. The present paper includes as a special case the proof of the main relations among twisted vertex operators based on even lattices announced some time ago by the second author.
Cite
@article{arxiv.q-alg/9604022,
title = {The algebraic structure of relative twisted vertex operators},
author = {Chongying Dong and James Lepowsky},
journal= {arXiv preprint arXiv:q-alg/9604022},
year = {2008}
}
Comments
Latex, 38 pages, to appear in J. Pure & Applied Algebra