dorsal/arxiv
View SchemaQuantum W-algebras and Elliptic Algebras
| Authors | Boris Feigin, Edward Frenkel |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9508009 |
| URL | https://arxiv.org/abs/q-alg/9508009 |
| DOI | 10.1007/BF02108819 |
| Journal | Commun.Math.Phys. 178 (1996) 653-678 |
Abstract
We define quantum W-algebras generalizing the results of Reshetikhin and the second author, and Shiraishi-Kubo-Awata-Odake. The quantum W-algebra associated to sl_N is an associative algebra depending on two parameters. For special values of parameters it becomes the ordinary W-algebra of sl_N, or the q-deformed classical W-algebra of sl_N. We construct free field realizations of the quantum W-algebras and the screening currents. We also point out some interesting elliptic structures arising in these algebras. In particular, we show that the screening currents satisfy elliptic analogues of the Drinfeld relations in U_q(n^).
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"abstract": "We define quantum W-algebras generalizing the results of Reshetikhin and the\nsecond author, and Shiraishi-Kubo-Awata-Odake. The quantum W-algebra associated\nto sl_N is an associative algebra depending on two parameters. For special\nvalues of parameters it becomes the ordinary W-algebra of sl_N, or the\nq-deformed classical W-algebra of sl_N. We construct free field realizations of\nthe quantum W-algebras and the screening currents. We also point out some\ninteresting elliptic structures arising in these algebras. In particular, we\nshow that the screening currents satisfy elliptic analogues of the Drinfeld\nrelations in U_q(n^).",
"arxiv_id": "q-alg/9508009",
"authors": [
"Boris Feigin",
"Edward Frenkel"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/BF02108819",
"journal_ref": "Commun.Math.Phys. 178 (1996) 653-678",
"title": "Quantum W-algebras and Elliptic Algebras",
"url": "https://arxiv.org/abs/q-alg/9508009"
},
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