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arxiv: 1003.1303 · v2 · pith:CZAOXUBXnew · submitted 2010-03-05 · ✦ hep-th

A (0,2) Mirror Map

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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