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Deformed Quantum Cohomology and (0,2) Mirror Symmetry

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abstract

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.

fields

hep-th 1

years

2019 1

verdicts

CONDITIONAL 1

representative citing papers

A proposal for nonabelian (0,2) mirrors

hep-th · 2019-08-16 · conditional · novelty 6.0

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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  • A proposal for nonabelian (0,2) mirrors hep-th · 2019-08-16 · conditional · none · ref 13 · internal anchor

    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.