Target Spaces from Chiral Gauge Theories

Abstract

Chiral gauge theories in two dimensions with (0,2) supersymmetry are central in the study of string compactifications. Remarkably little is known about generic (0,2) theories. We consider theories with branches on which multiplets with a net gauge anomaly become massive. The simplest example is a relevant perturbation of the gauge theory that flows to the CP(n) model. To compute the effective action, we derive a useful set of Feynman rules for (0,2) supergraphs. From the effective action, we see that the infra-red geometry reflects the gauge anomaly by the presence of a boundary at finite distance. In generic examples, there are boundaries, fluxes and branes; the resulting spaces are non-Kahler.

70 pages, 15 figures; LaTeX; references added; minor typo fixed

References in corpus (5)

• Torsional Heterotic Geometries
• The Revival of (0,2) Linear Sigma Models
• Novel Branches of (0,2) Theories
• GLSMs for non-Kahler Geometries
• (Non) Gauge Invariance of Wilsonian Effective Actions in (Supersymmetric) Gauge Theories : A Critical Discussion

Cited by in corpus (16)

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• Algebroids, Heterotic Moduli Spaces and the Strominger System
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• Notes on nonabelian (0,2) theories and dualities
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• From 6D SCFTs to Dynamic GLSMs
• The infinitesimal moduli space of heterotic $G_2$ systems
• The Heterotic Superpotential and Moduli
• Heterotic fluxes and supersymmetry
• A few Ricci-flat stacks as phases of exotic GLSM's
• Domain Walls, Triples and Acceleration
• T-Duality in Gauged Linear Sigma-Models with Torsion
• Decomposition and the Gross-Taylor string theory
• (2,2) Geometry from Gauge Theory
• A survey of recent developments in GLSMs