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A (0,2) Mirror Map

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arxiv 1003.1303 v2 pith:CZAOXUBX submitted 2010-03-05 hep-th

Ilarion V. Melnikov , M. Ronen Plesser This is my paper · ORCID
classification hep-th
keywords mirrortheorieslinearplainsigmasubspacealgebraiccalabi-yau
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We study the linear sigma model subspace of the moduli space of (0,2) superconformal world-sheet theories obtained by deforming (2,2) theories based on Calabi-Yau hypersurfaces in reflexively plain toric varieties. We describe a set of algebraic coordinates on this subspace, formulate a (0,2) generalization of the monomial-divisor mirror map, and show that the map exchanges principal components of singular loci of the mirror half-twisted theories. In non-reflexively plain examples the proposed map yields a mirror isomorphism between subfamilies of linear sigma models.

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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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