Ŝl(2) ⊕ ŝl(2)|ŝl(2) coset theory is a Hamiltonian reduction of the D̂ (2|1; α) superalgebra

A. M. Semikhatov; B. L. Feǐgin

doi:10.1134/1.1402208

Ŝl(2) ⊕ ŝl(2)|ŝl(2) coset theory is a Hamiltonian reduction of the D̂ (2|1; α) superalgebra

A. M. Semikhatov^*
, B. L. Feǐgin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is shown that šl(2)_k1 ⊕ ŝl(2)_k2|ŝl(2)_{k1 + k2} coset theory is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D̂(2|1; α). In addition, the W algebra of this theory is the commutant of the UqD(2|1; α) quantum group.

Original language	English
Pages (from-to)	59-64
Number of pages	6
Journal	JETP Letters
Volume	74
Issue number	1
DOIs	https://doi.org/10.1134/1.1402208
State	Published - 10 Jul 2001
Externally published	Yes

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title = "Ŝl(2) ⊕ ŝl(2)|ŝl(2) coset theory is a Hamiltonian reduction of the {\^D} (2|1; α) superalgebra",

abstract = "It is shown that {\v s}l(2)k1 ⊕ ŝl(2)k2|ŝl(2)k1 + k2 coset theory is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra {\^D}(2|1; α). In addition, the W algebra of this theory is the commutant of the UqD(2|1; α) quantum group.",

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N2 - It is shown that šl(2)k1 ⊕ ŝl(2)k2|ŝl(2)k1 + k2 coset theory is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D̂(2|1; α). In addition, the W algebra of this theory is the commutant of the UqD(2|1; α) quantum group.

AB - It is shown that šl(2)k1 ⊕ ŝl(2)k2|ŝl(2)k1 + k2 coset theory is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D̂(2|1; α). In addition, the W algebra of this theory is the commutant of the UqD(2|1; α) quantum group.

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Ŝl(2) ⊕ ŝl(2)|ŝl(2) coset theory is a Hamiltonian reduction of the D̂ (2|1; α) superalgebra

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