Yangian realisations from finite W-algebras

We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras.

Detalles Bibliográficos
Autores principales: Ragoucy, E., Sorba, P.
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/s002200050034
http://cds.cern.ch/record/350654
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author Ragoucy, E.
Sorba, P.
author_facet Ragoucy, E.
Sorba, P.
author_sort Ragoucy, E.
collection CERN
description We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras.
id cern-350654
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
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spelling cern-3506542023-03-14T18:41:58Zdoi:10.1007/s002200050034http://cds.cern.ch/record/350654engRagoucy, E.Sorba, P.Yangian realisations from finite W-algebrasParticle Physics - TheoryWe construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras.We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras.hep-th/9803243CERN-TH-98-104LAPTH-672-98CERN-TH-98-104LAPP-TH-672oai:cds.cern.ch:3506541998-03-31
spellingShingle Particle Physics - Theory
Ragoucy, E.
Sorba, P.
Yangian realisations from finite W-algebras
title Yangian realisations from finite W-algebras
title_full Yangian realisations from finite W-algebras
title_fullStr Yangian realisations from finite W-algebras
title_full_unstemmed Yangian realisations from finite W-algebras
title_short Yangian realisations from finite W-algebras
title_sort yangian realisations from finite w-algebras
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/s002200050034
http://cds.cern.ch/record/350654
work_keys_str_mv AT ragoucye yangianrealisationsfromfinitewalgebras
AT sorbap yangianrealisationsfromfinitewalgebras

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