A-twisted heterotic Landau-Ginzburg models

Abstract

In this paper, we apply the methods developed in recent work for constructing A-twisted (2,2) Landau-Ginzburg models to analogous (0,2) models. In particular, we study (0,2) Landau-Ginzburg models on topologically non-trivial spaces away from large-radius limits, where one expects to find correlation function contributions akin to (2,2) curve corrections. Such heterotic theories admit A- and B-model twists, and exhibit a duality that simultaneously exchanges the twists and dualizes the gauge bundle. We explore how this duality operates in heterotic Landau-Ginzburg models, as well as other properties of these theories, using examples which RG flow to heterotic nonlinear sigma models as checks on our methods.

31 pages, LaTeX

References in corpus (9)

• Phases of $N=2$ Theories In Two Dimensions
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• (0,2) Landau-Ginzburg Theory
• Notes on Certain (0,2) Correlation Functions
• Heterotic twistor-string theory
• Half-Twisted Correlators from the Coulomb Branch
• Notes on certain other (0,2) correlation functions
• A-twisted Landau-Ginzburg models
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Cited by in corpus (19)

• The Revival of (0,2) Linear Sigma Models
• A-twisted Landau-Ginzburg models
• Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
• Notes on nonabelian (0,2) theories and dualities
• The Witten equation, mirror symmetry and quantum singularity theory
• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• A 2d (0,2) appetizer
• Quantum sheaf cohomology on Grassmannians
• Elliptic genera of Landau-Ginzburg models over nontrivial spaces
• Analogues of Mathai-Quillen forms in sheaf cohomology and applications to topological field theory
• (0,2) hybrid models
• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• Toda-like (0,2) mirrors to products of projective spaces
• Three Generations on the Quintic Quotient
• Non-compact Mirror Bundles and (0,2) Liouville Theories
• Spectral Sequences and Vacua in N = 2 Gauged Linear Quantum Mechanics with Potentials
• Curvature constraints in heterotic Landau-Ginzburg models
• Quantum ring of singularity $X^p+X{Y}^q$
• BRST-Invariant Deformations of Geometric Structures in Topological Field Theories