English

A (0,2) Mirror Map

High Energy Physics - Theory 2011-02-09 v2

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.

Keywords

Cite

@article{arxiv.1003.1303,
  title  = {A (0,2) Mirror Map},
  author = {Ilarion V. Melnikov and M. Ronen Plesser},
  journal= {arXiv preprint arXiv:1003.1303},
  year   = {2011}
}

Comments

15 pages; typos fixed, reference added

R2 v1 2026-06-21T14:54:21.670Z