(0,2) Deformations of Linear Sigma Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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35 pages; uses xy-fig; typos fixed, acknowledgments added

Scientific paper

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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