GLSMs for exotic Grassmannians

GLSMs for exotic Grassmannians

Abstract In this paper we explore nonabelian gauged linear sigma models (GLSMs) for symplectic and orthogonal Grassmannians and flag manifolds, checking e.g. global symmetries, Witten indices, and Calabi-Yau conditions, following up a proposal in the math community. For symplectic Grassmannians, we...

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Bibliographic Details
Main Authors: Wei Gu, Eric Sharpe, Hao Zou
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Journal of High Energy Physics
Subjects:
Field Theories in Lower Dimensions
Sigma Models
Supersymmetric Gauge Theory
Online Access:http://link.springer.com/article/10.1007/JHEP10(2020)200
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spelling doaj-6a8120ed8f1f4243ae0f7a1865fd5e1f2020-11-25T03:37:08ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201014410.1007/JHEP10(2020)200GLSMs for exotic GrassmanniansWei Gu0Eric Sharpe1Hao Zou2Center for Mathematical Sciences, Harvard UniversityDepartment of Physics, Virginia TechDepartment of Physics, Virginia TechAbstract In this paper we explore nonabelian gauged linear sigma models (GLSMs) for symplectic and orthogonal Grassmannians and flag manifolds, checking e.g. global symmetries, Witten indices, and Calabi-Yau conditions, following up a proposal in the math community. For symplectic Grassmannians, we check that Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant quantum cohomology of the space.http://link.springer.com/article/10.1007/JHEP10(2020)200Field Theories in Lower DimensionsSigma ModelsSupersymmetric Gauge Theory
collection DOAJ
language English
format Article
sources DOAJ
author Wei Gu
Eric Sharpe
Hao Zou
spellingShingle Wei Gu
Eric Sharpe
Hao Zou
GLSMs for exotic Grassmannians
Journal of High Energy Physics
Field Theories in Lower Dimensions
Sigma Models
Supersymmetric Gauge Theory
author_facet Wei Gu
Eric Sharpe
Hao Zou
author_sort Wei Gu
title GLSMs for exotic Grassmannians
title_short GLSMs for exotic Grassmannians
title_full GLSMs for exotic Grassmannians
title_fullStr GLSMs for exotic Grassmannians
title_full_unstemmed GLSMs for exotic Grassmannians
title_sort glsms for exotic grassmannians
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-10-01
description Abstract In this paper we explore nonabelian gauged linear sigma models (GLSMs) for symplectic and orthogonal Grassmannians and flag manifolds, checking e.g. global symmetries, Witten indices, and Calabi-Yau conditions, following up a proposal in the math community. For symplectic Grassmannians, we check that Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant quantum cohomology of the space.
topic Field Theories in Lower Dimensions
Sigma Models
Supersymmetric Gauge Theory
url http://link.springer.com/article/10.1007/JHEP10(2020)200
work_keys_str_mv AT weigu glsmsforexoticgrassmannians
AT ericsharpe glsmsforexoticgrassmannians
AT haozou glsmsforexoticgrassmannians
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