Journal of High Energy Physics (Oct 2020)

GLSMs for exotic Grassmannians

  • Wei Gu,
  • Eric Sharpe,
  • Hao Zou

DOI
https://doi.org/10.1007/JHEP10(2020)200
Journal volume & issue
Vol. 2020, no. 10
pp. 1 – 44

Abstract

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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.

Keywords