Summing the Instantons in Half-Twisted Linear Sigma Models

Abstract

We study half-twisted linear sigma models relevant to (0,2) compactifications of the heterotic string. Focusing on theories with a (2,2) locus, we examine the linear model parameter space and the dependence of genus zero half-twisted correlators on these parameters. We show that in a class of theories the correlators and parameters separate into A and B types, present techniques to compute the dependence, and apply these to some examples. These results should bear on the mathematics of (0,2) mirror symmetry and the physics of the moduli space and Yukawa couplings in heterotic compactifications.

70 pages; typo's fixed; version to appear in JHEP

References in corpus (6)

• An SU(5) Heterotic Standard Model
• Half-Twisted Correlators from the Coulomb Branch
• Notes on certain other (0,2) correlation functions
• A-twisted Landau-Ginzburg models
• Half-Twisted (0,2) Landau-Ginzburg Models
• Worldsheet Instantons and Torsion Curves

Cited by in corpus (39)

• The Revival of (0,2) Linear Sigma Models
• Yukawa Couplings in Heterotic Compactification
• The Leading Quantum Corrections to Stringy Kahler Potentials
• Recent Developments in (0,2) Mirror Symmetry
• Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
• Notes on nonabelian (0,2) theories and dualities
• A proposal for nonabelian (0,2) mirrors
• (0,2) Deformations of Linear Sigma Models
• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• A (0,2) Mirror Map
• Heterotic orbifold resolutions as (2,0) gauged linear sigma models
• Worldsheet instantons and (0,2) linear models
• Quantum sheaf cohomology on Grassmannians
• General aspects of heterotic string compactifications on stacks and gerbes
• Chiral operators in two-dimensional (0,2) theories and a test of triality
• On the Effective Field Theory of Heterotic Vacua
• A proposal for (0,2) mirrors of toric varieties
• Light Strings and Strong Coupling in F-theory
• Classical sheaf cohomology rings on Grassmannians
• Analogues of Mathai-Quillen forms in sheaf cohomology and applications to topological field theory
• More Toda-like (0,2) mirrors
• Small gauge transformations and universal geometry in heterotic theories
• A proposal for nonabelian mirrors
• Quantum Sheaf Cohomology and Duality of Flag Manifolds
• (0,2) hybrid models
• Old issues and linear sigma models
• Rational Curves and (0,2)-Deformations
• Toda-like (0,2) mirrors to products of projective spaces
• (0,2) versions of exotic (2,2) GLSMs
• Testing the (0,2) mirror map
• Non-compact Mirror Bundles and (0,2) Liouville Theories
• Quantum cohomology from mixed Higgs-Coulomb branches
• Fixed points of (0,2) Landau-Ginzburg renormalization group flows and the chiral algebra
• A survey of recent developments in GLSMs
• Quantum cohomology of symplectic flag manifolds
• A (0,2) mirror duality
• Supersymmetric Localization in GLSMs for Supermanifolds
• Global aspects of (0,2) moduli space: toric varieties and tangent bundles
• Heterotic Flux Geometry from Chiral Gauge Dynamics