Heterotic compactifications on SU(2)-structure backgrounds

TL;DR

This paper investigates heterotic string theory compactified on SU(2)-structure backgrounds, deriving the corresponding low-energy supergravity and verifying its consistency with supersymmetry principles.

Contribution

It provides a detailed derivation of the gauged N=2 supergravity from heterotic compactifications on SU(2)-structure backgrounds, including Killing vectors and prepotentials.

Findings

Derived the bosonic low-energy gauged N=2 supergravity

Computed the Killing vectors for the gauged isometries

Confirmed the Lagrangian's consistency with N=2 supersymmetry

Abstract

In this paper we study the reduction of heterotic string theory on SU(2)-structure backgrounds. We compute the bosonic low-energy gauged N=2 supergravity specified by the Killing vectors corresponding to the gauged isometries. We check that the obtained Lagrangian is consistent with the one of N=2 local supersymmetry. We also determine the Killing prepotentials.