Phases Of N=2 Theories In 1+1 Dimensions With Boundary

We study B-type D-branes in linear sigma models with Abelian gauge groups. The most important finding is the grade restriction rule. It classifies representations of the gauge group on the Chan-Paton factor, which can be used to define a family of D-branes over a region of the Kähler moduli space th...

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Detalles Bibliográficos
Autores principales: Herbst, Manfred, Hori, Kentaro, Page, David
Lenguaje:eng
Publicado: 2007
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/1094376
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author Herbst, Manfred
Hori, Kentaro
Page, David
author_facet Herbst, Manfred
Hori, Kentaro
Page, David
author_sort Herbst, Manfred
collection CERN
description We study B-type D-branes in linear sigma models with Abelian gauge groups. The most important finding is the grade restriction rule. It classifies representations of the gauge group on the Chan-Paton factor, which can be used to define a family of D-branes over a region of the Kähler moduli space that connects special points of different character. As an application, we find a precise, transparent relation between D-branes in various geometric phases as well as free orbifold and Landau-Ginzburg points. The result reproduces and unifies many of the earlier mathematical results on equivalences of D-brane categories, including the McKay correspondence and Orlov's construction.
id cern-1094376
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
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spelling cern-10943762019-09-30T06:29:59Zhttp://cds.cern.ch/record/1094376engHerbst, ManfredHori, KentaroPage, DavidPhases Of N=2 Theories In 1+1 Dimensions With BoundaryParticle Physics - TheoryWe study B-type D-branes in linear sigma models with Abelian gauge groups. The most important finding is the grade restriction rule. It classifies representations of the gauge group on the Chan-Paton factor, which can be used to define a family of D-branes over a region of the Kähler moduli space that connects special points of different character. As an application, we find a precise, transparent relation between D-branes in various geometric phases as well as free orbifold and Landau-Ginzburg points. The result reproduces and unifies many of the earlier mathematical results on equivalences of D-brane categories, including the McKay correspondence and Orlov's construction.arXiv:0803.2045arXiv:0803.2045CERN-PH-TH-2008-048DESY-2007-154CERN-PH-TH-2008-048DESY-2007-154oai:cds.cern.ch:10943762007
spellingShingle Particle Physics - Theory
Herbst, Manfred
Hori, Kentaro
Page, David
Phases Of N=2 Theories In 1+1 Dimensions With Boundary
title Phases Of N=2 Theories In 1+1 Dimensions With Boundary
title_full Phases Of N=2 Theories In 1+1 Dimensions With Boundary
title_fullStr Phases Of N=2 Theories In 1+1 Dimensions With Boundary
title_full_unstemmed Phases Of N=2 Theories In 1+1 Dimensions With Boundary
title_short Phases Of N=2 Theories In 1+1 Dimensions With Boundary
title_sort phases of n=2 theories in 1+1 dimensions with boundary
topic Particle Physics - Theory
url http://cds.cern.ch/record/1094376
work_keys_str_mv AT herbstmanfred phasesofn2theoriesin11dimensionswithboundary
AT horikentaro phasesofn2theoriesin11dimensionswithboundary
AT pagedavid phasesofn2theoriesin11dimensionswithboundary

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