The Revival of (0,2) Linear Sigma Models

Abstract

Compactifications of the heterotic string are a viable route to phenomenologically realistic vacua and interesting new mathematics. While supergravity aspects of heterotic compactifications are largely well-understood their worldsheet description remains largely unexplored. We review recent work in developing linear sigma model techniques aimed at elucidating the underlying worldsheet description.

Invited review for IJMPA. 53 pages

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Cited by in corpus (36)

• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• F-theory and 2d (0,2) Theories
• Recent Developments in (0,2) Mirror Symmetry
• Linear Sigma Models with Torsion
• Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties
• A Metric for Heterotic Moduli
• Notes on nonabelian (0,2) theories and dualities
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• Novel Branches of (0,2) Theories
• Heterotic orbifold resolutions as (2,0) gauged linear sigma models
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Target Spaces from Chiral Gauge Theories
• Quantum sheaf cohomology on Grassmannians
• GLSMs for non-Kahler Geometries
• Heterotic Quantum Cohomology
• On the Effective Field Theory of Heterotic Vacua
• Chiral operators in two-dimensional (0,2) theories and a test of triality
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• A proposal for (0,2) mirrors of toric varieties
• Classical sheaf cohomology rings on Grassmannians
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• T-Duality in Gauged Linear Sigma-Models with Torsion
• $\mathcal{G}$-structure symmetries and anomalies in $(1,0)$ non-linear $\sigma$-models
• Small gauge transformations and universal geometry in heterotic theories
• A proposal for nonabelian mirrors
• A few recent developments in 2d (2,2) and (0,2) theories
• Old issues and linear sigma models
• Chameleonic equivalence postulate and wave function collapse
• (0,2) hybrid models
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Toda-like (0,2) mirrors to products of projective spaces
• A Correlator Formula for Quantum Sheaf Cohomology
• Quantum cohomology from mixed Higgs-Coulomb branches
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Heterotic Flux Geometry from Chiral Gauge Dynamics