TL;DR
This paper investigates nonabelian GLSMs for exotic Grassmannians, analyzing their symmetries, vacua, and quantum cohomology to connect physical models with mathematical structures.
Contribution
It introduces and studies GLSMs for symplectic and orthogonal Grassmannians, verifying their properties and consistency with mathematical predictions.
Findings
Coulomb branch vacua match quantum cohomology results
Global symmetries and Witten indices are consistent with expectations
Calabi-Yau conditions are checked for the models
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 the Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant quantum cohomology of the space.
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