2010/03/19 by Ilarion V. Melnikov, M. Ronen Plesser · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th
paper · pdf · doi:10.1007/jhep02(2011)001
published as JHEP 1102:001,2011 · 15 pages; typos fixed, reference added
arxiv created 2010/03/19 · openalex publication_date 2011/02/01 · arxiv updated 2011/02/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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.