Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction

We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admis...

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Detalles Bibliográficos
Autores principales: Bouwknegt, Peter, McCarthy, James G., Pilch, Krzysztof
Lenguaje:eng
Publicado: 1992
Materias:
General Theoretical Physics
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/225908
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author Bouwknegt, Peter
McCarthy, James G.
Pilch, Krzysztof
author_facet Bouwknegt, Peter
McCarthy, James G.
Pilch, Krzysztof
author_sort Bouwknegt, Peter
collection CERN
description We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weight modules. Using these, we construct resolutions of the completely degenerate highest weight modules of W-algebras by means of the quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae for these degenerate highest weight modules.
id cern-225908
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1992
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spelling cern-2259082023-03-12T05:44:36Zhttp://cds.cern.ch/record/225908engBouwknegt, PeterMcCarthy, James G.Pilch, KrzysztofSome aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reductionGeneral Theoretical PhysicsParticle Physics - TheoryWe review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weight modules. Using these, we construct resolutions of the completely degenerate highest weight modules of W-algebras by means of the quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae for these degenerate highest weight modules.We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weight modules. Using these, we construct resolutions of the completely degenerate highest weight modules of W-algebras by means of the quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae for these degenerate highest weight modules.hep-th/9110007CERN-TH-6267-91BRX-TH-325USC-91-29CERN-TH-6267-91USC-91-29BRX-TH-325oai:cds.cern.ch:2259081992
spellingShingle General Theoretical Physics
Particle Physics - Theory
Bouwknegt, Peter
McCarthy, James G.
Pilch, Krzysztof
Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
title Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
title_full Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
title_fullStr Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
title_full_unstemmed Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
title_short Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
title_sort some aspects of free field resolutions in 2d cft with application to the quantum drinfeld-sokolov reduction
topic General Theoretical Physics
Particle Physics - Theory
url http://cds.cern.ch/record/225908
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AT mccarthyjamesg someaspectsoffreefieldresolutionsin2dcftwithapplicationtothequantumdrinfeldsokolovreduction
AT pilchkrzysztof someaspectsoffreefieldresolutionsin2dcftwithapplicationtothequantumdrinfeldsokolovreduction

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