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Quantum symmetries in the free field realization of Wn algebras

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URI: http://hdl.handle.net/10016/7161
ISSN: 0370-2693
DOI: https://www.doi.org/10.1016/0370-2693(91)90093-6
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quantum_cuerno_plb_1991_ps.pdf (1.3 MB)
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1991-11-21
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Elsevier
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Abstract
$W_n$ algebras are considered in their free field representation to show that they are endowed with a quantum group symmetry which is a $Z_2$ twist à la Drinfel'd of $U_{q+}({\rm sl}(n))\times U_{q-}({\rm sl}(n))$. We use the contour picture of quantum groups due to Gómez and Sierra. A sample computation for the $R$ matrix is also performed.
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7 pages, no figures.-- MSC2000 codes: Primary: 81R50; Secondary: 17B37, 17B81, 81R10.
MR#: MR1140143 (92m:81106)
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[MSC] Quantum groups and related algebraic methods, [MSC] Quantum groups (quantized enveloping algebras) and related deformations, [MSC] Lie algebras and Lie superalgebras For Lie groups: Applications to physics, [MSC] Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations
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Physics Letters B, 1991, vol. 271, n. 3-4, p. 314-320
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