Open Gauged Sigma Models, Equivariant Branes, and Equivariant Homological Mirror Symmetry
arXiv:1612.09191 · doi:10.1103/PhysRevD.97.066010
Abstract
We describe supersymmetric A-branes and B-branes in open N=(2,2) dynamically gauged nonlinear sigma models (GNLSM), placing emphasis on toric manifold target spaces. For a subset of toric manifolds, these equivariant branes have a mirror description as branes in gauged Landau-Ginzburg models with neutral matter. We then study correlation functions in the topological A-twisted version of the GNLSM, and identify their values with open Hamiltonian Gromov-Witten invariants. Supersymmetry breaking can occur in the A-twisted GNLSM due to nonperturbative open symplectic vortices, and we canonically BRST quantize the mirror theory to analyze this phenomenon.
94 pp. Presented at "Indian Strings Meeting 2016". To appear in Physical Review D
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