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Recent Developments in (0,2) Mirror Symmetry

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arxiv 1209.1134 v3 pith:7RWYNF37 submitted 2012-09-05 hep-th math.AG

classification hep-thmath.AG
keywords mirrorsymmetrydevelopmentsgeneralizationmirrorsrecentstringbeautiful
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Mirror symmetry of the type II string has a beautiful generalization to the heterotic string. This generalization, known as (0,2) mirror symmetry, is a field still largely in its infancy. We describe recent developments including the ideas behind quantum sheaf cohomology, the mirror map for deformations of (2,2) mirrors, the construction of mirror pairs from worldsheet duality, as well as an overview of some of the many open questions. The (0,2) mirrors of Hirzebruch surfaces are presented as a new example.

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Cited by 1 Pith paper

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  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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