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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 74, Issue 1, Pages 61–65
(Mi jetpl4157)
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This article is cited in 3 scientific papers (total in 3 papers)
FIELDS, PARTICLES, AND NUCLEI
$\widehat{s\ell}(2)\oplus \widehat{s\ell}(2)/\widehat{s\ell}(2)$ coset theory is a Hamiltonian reduction of the $\widehat{D}(2|1; \alpha)$ superalgebra
A. M. Semikhatova, B. L. Feiginb a P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Abstract:
It is shown that $\widehat{s\ell}(2)_{k_1}\oplus \widehat{s\ell}(2)_{k_2}/\widehat{s\ell}(2)_{k_1 + k_2}$ coset theory is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra $\widehat{D}(2|1; \alpha)$. In addition, the $W$ algebra of this theory is the commutant of the $\mathcal {U}_qD(2|1; \alpha )$ quantum group.
Received: 19.04.2001 Revised: 31.05.2001
Citation:
A. M. Semikhatov, B. L. Feigin, “$\widehat{s\ell}(2)\oplus \widehat{s\ell}(2)/\widehat{s\ell}(2)$ coset theory is a Hamiltonian reduction of the $\widehat{D}(2|1; \alpha)$ superalgebra”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:1 (2001), 61–65; JETP Letters, 74:1 (2001), 59–64
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