dorsal/arxiv
View SchemaW{1+ \infty} algebra, W_3 algebra, and Friedan-Martinec-Shenker bosonization
| Authors | Weiqiang Wang |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9708008 |
| URL | https://arxiv.org/abs/q-alg/9708008 |
| DOI | 10.1007/s002200050381 |
| Journal | Commun.Math.Phys. 195 (1998) 95-111 |
Abstract
We show that the vertex algebra W{1+ \infty} with central charge -1 is isomorphic to a tensor product of the simple W_3 algebra with central charge -2 and a Heisenberg vertex algebra generated by a free bosonic field. We construct a family of irreducible modules of the W_3 algebra with central charge -2 in terms of free fields and calculate the full character formulas of these modules with respect to the full Cartan subalgebra of the W_3 algebra.
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"abstract": "We show that the vertex algebra W{1+ \\infty} with central charge -1 is\nisomorphic to a tensor product of the simple W_3 algebra with central charge -2\nand a Heisenberg vertex algebra generated by a free bosonic field. We construct\na family of irreducible modules of the W_3 algebra with central charge -2 in\nterms of free fields and calculate the full character formulas of these modules\nwith respect to the full Cartan subalgebra of the W_3 algebra.",
"arxiv_id": "q-alg/9708008",
"authors": [
"Weiqiang Wang"
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"doi": "10.1007/s002200050381",
"journal_ref": "Commun.Math.Phys. 195 (1998) 95-111",
"title": "W{1+ \\infty} algebra, W_3 algebra, and Friedan-Martinec-Shenker bosonization",
"url": "https://arxiv.org/abs/q-alg/9708008"
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