A (0,2) Mirror Map

Abstract

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.

15 pages; typos fixed, reference added

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• Quantum sheaf cohomology on Grassmannians
• Cohomology of Line Bundles: Applications
• On the Effective Field Theory of Heterotic Vacua
• A proposal for (0,2) mirrors of toric varieties
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• More Toda-like (0,2) mirrors
• (0,2) hybrid models
• Toda-like (0,2) mirrors to products of projective spaces
• New Evidence for (0,2) Target Space Duality
• Correlation functions in massive Landau-Ginzburg orbifolds and tests of dualities
• Testing the (0,2) mirror map
• A survey of recent developments in GLSMs