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 <nobr>$\widehat{D}(2|1; \alpha)$</nobr> superalgebra”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2001, Volume 74, Issue 1,Pages <nobr>61

This article is cited 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. Semikhatov^a, B. L. Feigin^b

^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.

PACS: 02.20.Uw, 11.25.Hf

Received: 19.04.2001
Revised: 31.05.2001