GLSMs for exotic Grassmannians

E. Sharpe; H. Zou; W. Gu

GLSMs for exotic Grassmannians

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arxiv 2008.02281 v2 pith:YJB46GZX submitted 2020-08-05 hep-th

W. Gu , E. Sharpe , H. Zou This is my paper · ORCID

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keywords grassmanniansglsmssymplecticbranchcalabi-yaucheckcheckingcohomology

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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 the Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant quantum cohomology of the space.

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Schubert defects in Lagrangian Grassmannians
hep-th 2025-02 conditional novelty 6.0 of 10

A GLSM defect construction for Schubert cycles in Lagrangian Grassmannians is proposed and checked, with defect indices equal to Schur Q-functions in quantum cohomology and quantum K theory.

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