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Deformed Quantum Cohomology and (0,2) Mirror Symmetry

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arxiv 0710.2354 v4 pith:LVSZO2NR submitted 2007-10-12 hep-th

classification hep-th
keywords ringchiralcorrelatorsdeformationabs04adamsagreementbundle
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A proposal for nonabelian (0,2) mirrors

    hep-th 2019-08 conditional novelty 6.0 of 10

    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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