Quantization of the Drinfeld-Sokolov reduction

Boris Feigin; Edward Frenkel

doi:10.1016/0370-2693(90)91310-8

Quantization of the Drinfeld-Sokolov reduction

Boris Feigin^*
, Edward Frenkel

^*Corresponding author for this work

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

227 Scopus citations

Abstract

We show that the quantum Drinfeld-Sokolov reduction of the affine Kac-Moody algebra sl(n)^Λ gives the W_n-algebra of Fateev-Zamolodchikov-Lukyanov. We derive this W_n-algebra explicitly as a BRST cohomology algebra, using the homological technique of spectral sequences.

Original language	English
Pages (from-to)	75-81
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	246
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(90)91310-8
State	Published - 23 Aug 1990
Externally published	Yes

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10.1016/0370-2693(90)91310-8

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title = "Quantization of the Drinfeld-Sokolov reduction",

abstract = "We show that the quantum Drinfeld-Sokolov reduction of the affine Kac-Moody algebra sl(n)Λ gives the Wn-algebra of Fateev-Zamolodchikov-Lukyanov. We derive this Wn-algebra explicitly as a BRST cohomology algebra, using the homological technique of spectral sequences.",

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AU - Frenkel, Edward

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N2 - We show that the quantum Drinfeld-Sokolov reduction of the affine Kac-Moody algebra sl(n)Λ gives the Wn-algebra of Fateev-Zamolodchikov-Lukyanov. We derive this Wn-algebra explicitly as a BRST cohomology algebra, using the homological technique of spectral sequences.

AB - We show that the quantum Drinfeld-Sokolov reduction of the affine Kac-Moody algebra sl(n)Λ gives the Wn-algebra of Fateev-Zamolodchikov-Lukyanov. We derive this Wn-algebra explicitly as a BRST cohomology algebra, using the homological technique of spectral sequences.

UR - https://www.scopus.com/pages/publications/0001986175

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JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Quantization of the Drinfeld-Sokolov reduction

Abstract

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