Linear Sigma Models with Torsion

Abstract

Gauged linear sigma models with (0,2) supersymmetry allow a larger choice of couplings than models with (2,2) supersymmetry. We use this freedom to find a fully linear construction of torsional heterotic compactifications, including models with branes. As a non-compact example, we describe a family of metrics which correspond to deformations of the heterotic conifold by turning on H-flux. We then describe compact models which are gauge-invariant only at the quantum level. Our construction gives a generalization of symplectic reduction. The resulting spaces are non-Kahler analogues of familiar toric spaces like complex projective space. Perturbatively conformal models can be constructed by considering intersections.

40 pages, LaTeX, 1 figure; references added; a new section on supersymmetry added; quantization condition revisited

References in corpus (20)

• Form factors at strong coupling via a Y-system
• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• Torsional Heterotic Geometries
• The Revival of (0,2) Linear Sigma Models
• Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
• Heterotic string from a higher dimensional perspective
• Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds
• Geometries, Non-Geometries, and Fluxes
• Heterotic horizons, Monge-Ampere equation and del Pezzo surfaces
• Heterotic Flux Vacua from Hybrid Linear Models
• Comments on Heterotic Flux Compactifications
• Heterotic compactifications on SU(2)-structure backgrounds
• Topology Change from (Heterotic) Narain T-Duality
• Twisting K3 x T^2 Orbifolds
• Heterotic Sigma Models with N=2 Space-Time Supersymmetry
• Geometric Transitions on non-Kaehler Manifolds
• Orbifold Phases of Heterotic Flux Vacua
• A Heterotic Flux Background and Calibrated Five-Branes

Cited by in corpus (31)

• Dual Boundary Conditions in 3d SCFT's
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• F-theory and 2d (0,2) Theories
• Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
• On marginal deformations of (0,2) non-linear sigma models
• Novel Branches of (0,2) Theories
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Non-Universal Anomalies in Heterotic String Constructions
• 4d strings at strong coupling
• A few Ricci-flat stacks as phases of exotic GLSM's
• Target Spaces from Chiral Gauge Theories
• GLSMs for non-Kahler Geometries
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• The Abelian Heterotic Conifold
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• Heterotic Instantons for Monad and Extension Bundles
• T-Duality in Gauged Linear Sigma-Models with Torsion
• Dressed elliptic genus of heterotic compactifications with torsion and general bundles
• Decomposition and the Gross-Taylor string theory
• New supersymmetric index of heterotic compactifications with torsion
• (2,2) Geometry from Gauge Theory
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• Reflections of NS5 branes
• On gauged linear sigma models with torsion
• Tetrahedron duality
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• A survey of recent developments in GLSMs
• Heterotic Flux Geometry from Chiral Gauge Dynamics