(0,2) Deformations of Linear Sigma Models

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.

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

References in corpus (6)

• Residues and World-Sheet Instantons
• Toric reduction and a conjecture of Batyrev and Materov
• Summing the Instantons in Half-Twisted Linear Sigma Models
• Notes on Certain (0,2) Correlation Functions
• Half-Twisted Correlators from the Coulomb Branch
• Deformed Quantum Cohomology and (0,2) Mirror Symmetry

Cited by in corpus (21)

• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Recent Developments in (0,2) Mirror Symmetry
• The MSSM Spectrum from (0,2)-Deformations of the Heterotic Standard Embedding
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• (0,2) Elephants
• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• Accidents in (0,2) Landau-Ginzburg theories
• Quantum sheaf cohomology on Grassmannians
• On the Effective Field Theory of Heterotic Vacua
• Cohomology of Line Bundles: Applications
• A proposal for (0,2) mirrors of toric varieties
• Light Strings and Strong Coupling in F-theory
• Superpotential of Three Dimensional $\mathcal{N}=1$ Heterotic Supergravity
• Equivariant Vector Bundles on T-Varieties
• (0,2) hybrid models
• Rational Curves and (0,2)-Deformations
• Toda-like (0,2) mirrors to products of projective spaces
• Testing the (0,2) mirror map
• Small Landau-Ginzburg theories
• Max Kreuzer's Contributions to the Study of Calabi-Yau Manifolds