paper

A (0,2) Mirror Map

arXiv:1003.1303 · doi:10.1007/JHEP02(2011)001

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

A (0,2) Mirror Map · wovepaper