Local Heterotic Torsional Models

TL;DR

This paper constructs smooth supersymmetric heterotic solutions featuring a non-compact Eguchi-Hanson space, embedding it into a six-dimensional non-Kahler manifold with a torus fiber, and solves the anomaly equation exactly.

Contribution

It introduces a new class of heterotic solutions with non-Kahler geometry and provides an exact solution to the anomaly equation in this context.

Findings

Explicit smooth heterotic solutions with non-compact Eguchi-Hanson space

Exact resolution of the non-linear anomaly equation

Definition of a new charge to detect non-Kahlerity

Abstract

We present a class of smooth supersymmetric heterotic solutions with a non-compact Eguchi-Hanson space. The non-compact geometry is embedded as the base of a six-dimensional non-Kahler manifold with a non-trivial torus fiber. We solve the non-linear anomaly equation in this background exactly. We also define a new charge that detects the non-Kahlerity of our solutions.