The sℓ̂(2)⊕sℓ̂(2)/sℓ̂(2) coset theory as a Hamiltonian reduction of D̂(21;α)

B. L. Feigin; A. M. Semikhatov

doi:10.1016/S0550-3213(01)00307-8

The sℓ̂(2)⊕sℓ̂(2)/sℓ̂(2) coset theory as a Hamiltonian reduction of D̂(21;α)

B. L. Feigin
, A. M. Semikhatov

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

20 Scopus citations

Abstract

We show that the coset sℓ̂(2)_k1⊕sℓ̂(2) _k2/sℓ̂(2)_k1+k₂ is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D̂(21;α) and that the corresponding W algebra is the commutant of the U_qD(21;α) quantum group.

Original language	English
Pages (from-to)	489-530
Number of pages	42
Journal	Nuclear Physics B
Volume	610
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(01)00307-8
State	Published - 10 Sep 2001
Externally published	Yes

Keywords

Hamiltonian reduction
Quantum groups
Screening operators
Vertex-operator algebras
W algebras

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10.1016/S0550-3213(01)00307-8

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title = "The s{\^ℓ}(2)⊕s{\^ℓ}(2)/s{\^ℓ}(2) coset theory as a Hamiltonian reduction of {\^D}(21;α)",

abstract = "We show that the coset s{\^ℓ}(2)k1⊕s{\^ℓ}(2) k2/s{\^ℓ}(2)k1+k2 is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra {\^D}(21;α) and that the corresponding W algebra is the commutant of the UqD(21;α) quantum group.",

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AU - Semikhatov, A. M.

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N2 - We show that the coset sℓ̂(2)k1⊕sℓ̂(2) k2/sℓ̂(2)k1+k2 is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D̂(21;α) and that the corresponding W algebra is the commutant of the UqD(21;α) quantum group.

AB - We show that the coset sℓ̂(2)k1⊕sℓ̂(2) k2/sℓ̂(2)k1+k2 is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D̂(21;α) and that the corresponding W algebra is the commutant of the UqD(21;α) quantum group.

KW - Hamiltonian reduction

KW - Quantum groups

KW - Screening operators

KW - Vertex-operator algebras

KW - W algebras

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The sℓ̂(2)⊕sℓ̂(2)/sℓ̂(2) coset theory as a Hamiltonian reduction of D̂(21;α)

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Keywords

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