A-twisted Landau-Ginzburg models

Abstract

In this paper we discuss correlation functions in certain A-twisted Landau-Ginzburg models. Although B-twisted Landau-Ginzburg models have been discussed extensively in the literature, virtually no work has been done on A-twisted theories. In particular, we study examples of Landau-Ginzburg models over topologically nontrivial spaces - not just vector spaces - away from large-radius limits, so that one expects nontrivial curve corrections. By studying examples of Landau-Ginzburg models in the same universality class as nonlinear sigma models on nontrivial Calabi-Yaus, we obtain nontrivial tests of our methods as well as a physical realization of some simple examples of virtual fundamental class computations.

64 Pages, LaTeX

References in corpus (21)

• Phases of $N=2$ Theories In Two Dimensions
• Mirror Manifolds And Topological Field Theory
• D-Branes And Mirror Symmetry
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Topological Field Theory and Rational Curves
• The Verlinde Algebra And The Cohomology Of The Grassmannian
• Supersymmetric Yang-Mills Theory On A Four-Manifold
• Cluster decomposition, T-duality, and gerby CFT's
• GLSM's for gerbes (and other toric stacks)
• Non-birational twisted derived equivalences in abelian GLSMs
• Homological projective duality for Grassmannians of lines
• The Witten equation and its virtual fundamental cycle
• Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories
• Computing the Complete Massless Spectrum of a Landau-Ginzburg Orbifold
• GLSM's for partial flag manifolds
• Notes on Certain (0,2) Correlation Functions
• Sigma-models having supermanifolds as target spaces
• Spectra of D-branes with Higgs vevs
• Notes on certain other (0,2) correlation functions
• A-twisted heterotic Landau-Ginzburg models
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations

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• Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
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• A-twisted heterotic Landau-Ginzburg models
• The Witten equation, mirror symmetry and quantum singularity theory
• A proposal for nonabelian (0,2) mirrors
• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• Gromov-Witten invariants of stable maps with fields
• General aspects of heterotic string compactifications on stacks and gerbes
• Elliptic genera of Landau-Ginzburg models over nontrivial spaces
• D-brane central charge and Landau-Ginzburg orbifolds
• Schrödinger equations, deformation theory and $t{t}^{\ast }$-geometry
• The logarithmic gauged linear sigma model
• Analogues of Mathai-Quillen forms in sheaf cohomology and applications to topological field theory
• Witten's top Chern class via cosection localization
• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• Toda-like (0,2) mirrors to products of projective spaces
• An algebraic proof of the hyperplane property of the genus one GW-invariants of quintics
• Noninvertible symmetries in the B model TFT
• Spectral Sequences and Vacua in N = 2 Gauged Linear Quantum Mechanics with Potentials
• Curvature constraints in heterotic Landau-Ginzburg models
• Supersymmetric Localization in GLSMs for Supermanifolds
• Quantum Lefschetz without curves
• Quantum ring of singularity $X^p+X{Y}^q$
• A survey on mixed spin P-fields