dorsal/arxiv
View SchemaThe algebraic structure of relative twisted vertex operators
| Authors | Chongying Dong, James Lepowsky |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9604022 |
| URL | https://arxiv.org/abs/q-alg/9604022 |
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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"abstract": "Twisted vertex operators based on rational lattices have had many\napplications in vertex operator algebra theory and conformal field theory. In\nthis paper, ``relativized\u0027\u0027 twisted vertex operators are constructed in a\ngeneral context based on isometries of rational lattices, and a generalized\ntwisted Jacobi identity is established for them. This result generalizes many\nprevious results. Relatived untwisted vertex operators had been studied in a\nmonograph by the authors. The present paper includes as a special case the\nproof of the main relations among twisted vertex operators based on even\nlattices announced some time ago by the second author.",
"arxiv_id": "q-alg/9604022",
"authors": [
"Chongying Dong",
"James Lepowsky"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "The algebraic structure of relative twisted vertex operators",
"url": "https://arxiv.org/abs/q-alg/9604022"
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