Target Spaces from Chiral Gauge Theories

TL;DR

This paper investigates the geometric structures arising from two-dimensional (0,2) chiral gauge theories, revealing how gauge anomalies influence the IR geometry, leading to non-Kahler target spaces with boundaries, fluxes, and branes.

Contribution

It introduces a method to compute the effective action of (0,2) theories with gauge anomalies and explores their IR geometries, highlighting the role of anomalies in shaping non-Kahler target spaces.

Findings

IR geometry reflects gauge anomalies as boundaries

Effective supergraph rules for (0,2) theories derived

Spaces are non-Kahler with fluxes and branes

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.