English

(0,2) Deformations of Linear Sigma Models

High Energy Physics - Theory 2015-05-14 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1001.2104,
  title  = {(0,2) Deformations of Linear Sigma Models},
  author = {Maximilian Kreuzer and Jock McOrist and Ilarion V. Melnikov and M. Ronen Plesser},
  journal= {arXiv preprint arXiv:1001.2104},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T14:34:05.269Z