TL;DR
This paper explores a (0,2) mirror map for Calabi-Yau hypersurfaces in toric varieties, describing algebraic coordinates and demonstrating how it exchanges singular loci, extending mirror symmetry concepts.
Contribution
It introduces a (0,2) generalization of the monomial-divisor mirror map and shows its effectiveness in relating singular loci in mirror theories.
Findings
Defines algebraic coordinates on the (0,2) moduli space
Formulates a (0,2) mirror map exchanging singular loci
Establishes mirror isomorphisms in non-reflexively plain examples
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.
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