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(0,2) Duality

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arxiv hep-th/0309226 v2 pith:KXH723IE submitted 2003-09-24 hep-th math.AG

classification hep-thmath.AG
keywords dualringcasesdefinesdualitysigmasometheories
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We construct dual descriptions of (0,2) gauged linear sigma models. In some cases, the dual is a (0,2) Landau-Ginzburg theory, while in other cases, it is a non-linear sigma model. The duality map defines an analogue of mirror symmetry for (0,2) theories. Using the dual description, we determine the instanton corrected chiral ring for some illustrative examples. This ring defines a (0,2) generalization of the quantum cohomology ring of (2,2) theories.

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Cited by 1 Pith paper

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  1. $E$ and $J$ type $\mathcal{N}=(0,2)$ disordered models and higher-spin symmetry

    hep-th 2026-01 conditional novelty 6.0 of 10

    The E-type N=(0,2) disordered model is dynamically equivalent to the J-type model in the IR, inheriting its emergent higher-spin symmetry.

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