(0,2) Deformations of Linear Sigma Models
Maximilian Kreuzer, Jock McOrist, Ilarion V. Melnikov, M. Ronen, Plesser
TL;DR
This paper investigates (0,2) deformations of (2,2) supersymmetric gauged linear sigma models for Calabi-Yau hypersurfaces, providing combinatorial formulas and exploring mirror symmetry effects.
Contribution
It introduces combinatorial formulas for counting (0,2) deformations and demonstrates their exchange under mirror symmetry in certain models.
Findings
Formulas for deformation counts derived
Mirror symmetry exchanges deformation numbers
Analysis focused on Fano toric hypersurfaces
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.