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The algebraic structure of relative twisted vertex operators

Chongying Dong·James Lepowsky
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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.

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Chongying Dong, James Lepowsky. 1996-04-29. The algebraic structure of relative twisted vertex operators. https://arxiv.org/abs/q-alg/9604022

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