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(0,2) Deformations of Linear Sigma Models

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arxiv 1001.2104 v2 pith:F4M5OPYP submitted 2010-01-13 hep-th

Maximilian Kreuzer , Jock McOrist , Ilarion V. Melnikov , M. Ronen Plesser This is my paper · ORCID
classification hep-th
keywords deformationssigmahypersurfacelinearmodelmodelsbundlecalabi-yau
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We study (0,2) deformations of a (2,2) supersymmetric gauged linear sigma model for a Calabi-Yau hypersurface in a Fano toric variety. In the non-linear sigma model these correspond to some of the holomorphic deformations of the tangent bundle on the hypersurface. Combinatorial formulas are given for the number of these deformations, and we show that these numbers are exchanged by mirror symmetry in a subclass of the models.

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