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Deformed Quantum Cohomology and (0,2) Mirror Symmetry
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We compute instanton corrections to correlators in the genus-zero topological subsector of a (0,2) supersymmetric gauged linear sigma model with target space P1xP1, whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory's chiral ring from these correlators, which reduces in the limit of zero deformation to the (2,2) ring. Finally, we compare our results with the computations carried out by Adams et al.[ABS04] and Katz and Sharpe[KS06]. We find immediate agreement with the latter and an interesting puzzle in completely matching the chiral ring of the former.
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A proposal for nonabelian (0,2) mirrors
For (0,2) gauge theories with linear diagonal E-terms, the paper proposes a Weyl-orbifolded Landau-Ginzburg mirror and shows it reproduces quantum sheaf cohomology rings and A/2 correlation functions.
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