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A (0,2) Mirror Map

MPS-Authors
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Melnikov,  Ilarion V.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1003.1303
(Preprint), 189KB

1003.1303v2.pdf
(Preprint), 189KB

JHEP02_2011_001.pdf
(Any fulltext), 272KB

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Citation

Melnikov, I. V., & Plesser, R. M. (2011). A (0,2) Mirror Map. Journal of High Energy Physics, 2011(02): 001. doi:10.1007/JHEP02(2011)001.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-69BC-0
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.