Novel Branches of (0,2) Theories

TL;DR

This paper reveals that certain linear sigma models with torsion can be derived from unconventional branches of gauge theories, leading to new heterotic sigma models with non-toric, brane-including geometries, some of which are compact and non-Kähler.

Contribution

It demonstrates a novel connection between linear sigma models with torsion and unconventional gauge theory branches, expanding the landscape of heterotic sigma models with branes.

Findings

Log interactions arise from integrating out non-anomalous multiplets.

Identifies non-toric, brane-including sigma model geometries.

Constructs models with compact, non-Kähler target spaces including branes.

Abstract

We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. This observation puts models with log interactions on firm footing. If non-anomalous multiplets are integrated out, the resulting low-energy theory involves log interactions of neutral fields. For these cases, we find a sigma model geometry which is both non-toric and includes brane sources. These are heterotic sigma models with branes. Surprisingly, there are massive models with compact complex non-Kahler target spaces, which include brane/anti-brane sources. The simplest conformal models describe wrapped heterotic NS5-branes. We present examples of both types.