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A new kind of McKay correspondence from non-Abelian gauge theories

The boundary chiral ring of a 2d gauged linear sigma model on a K\"ahler manifold $X$ classifies the topological D-brane sectors and the massless open strings between them. While it is determined at small volume by simple group theory, its continuation to generic volume provides highly non-triv...

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Detalles Bibliográficos
Autores principales: Lerche, W., Mayr, P., Walcher, Johannes
Lenguaje:eng
Publicado: 2001
Materias:
Acceso en línea:http://cds.cern.ch/record/491347
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author Lerche, W.
Mayr, P.
Walcher, Johannes
author_facet Lerche, W.
Mayr, P.
Walcher, Johannes
author_sort Lerche, W.
collection CERN
description The boundary chiral ring of a 2d gauged linear sigma model on a K\"ahler manifold $X$ classifies the topological D-brane sectors and the massless open strings between them. While it is determined at small volume by simple group theory, its continuation to generic volume provides highly non-trivial information about the $D$-branes on $X$, related to the derived category $D^\flat(X)$. We use this correspondence to elaborate on an extended notion of McKay correspondence that captures more general than orbifold singularities. As an illustration, we work out this new notion of McKay correspondence for a class of non-compact Calabi-Yau singularities related to Grassmannians.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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spelling cern-4913472023-03-12T20:49:57Zhttp://cds.cern.ch/record/491347engLerche, W.Mayr, P.Walcher, JohannesA new kind of McKay correspondence from non-Abelian gauge theoriesParticle Physics - TheoryThe boundary chiral ring of a 2d gauged linear sigma model on a K\"ahler manifold $X$ classifies the topological D-brane sectors and the massless open strings between them. While it is determined at small volume by simple group theory, its continuation to generic volume provides highly non-trivial information about the $D$-branes on $X$, related to the derived category $D^\flat(X)$. We use this correspondence to elaborate on an extended notion of McKay correspondence that captures more general than orbifold singularities. As an illustration, we work out this new notion of McKay correspondence for a class of non-compact Calabi-Yau singularities related to Grassmannians.The boundary chiral ring of a 2d gauged linear sigma model on a K\"ahler manifold $X$ classifies the topological D-brane sectors and the massless open strings between them. While it is determined at small volume by simple group theory, its continuation to generic volume provides highly non-trivial information about the $D$-branes on $X$, related to the derived category $D^\flat(X)$. We use this correspondence to elaborate on an extended notion of McKay correspondence that captures more general than orbifold singularities. As an illustration, we work out this new notion of McKay correspondence for a class of non-compact Calabi-Yau singularities related to Grassmannians.hep-th/0103114CERN-TH-2001-075CERN-TH-2001-075oai:cds.cern.ch:4913472001-03-14
spellingShingle Particle Physics - Theory
Lerche, W.
Mayr, P.
Walcher, Johannes
A new kind of McKay correspondence from non-Abelian gauge theories
title A new kind of McKay correspondence from non-Abelian gauge theories
title_full A new kind of McKay correspondence from non-Abelian gauge theories
title_fullStr A new kind of McKay correspondence from non-Abelian gauge theories
title_full_unstemmed A new kind of McKay correspondence from non-Abelian gauge theories
title_short A new kind of McKay correspondence from non-Abelian gauge theories
title_sort new kind of mckay correspondence from non-abelian gauge theories
topic Particle Physics - Theory
url http://cds.cern.ch/record/491347
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