The algebraic structure of relative twisted vertex operators

Details The algebraic structure of relative twisted vertex operators The algebraic structure of relative twisted vertex operators

1996-04-29

arxiv.org/abs/q-alg/9604022v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 38 pages, to appear in J. Pure & Applied Algebra

Scientific paper

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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