Nearly-Kaehler dimensional reduction of the heterotic string

TL;DR

This paper explores how reducing heterotic string theory over nearly-Kaehler manifolds yields a four-dimensional effective action, highlighting the role of coset space dimensional reduction in deriving lower-dimensional theories.

Contribution

It applies the Coset Space Dimensional Reduction scheme to nearly-Kaehler manifolds in heterotic supergravity, providing a systematic way to obtain four-dimensional theories from ten dimensions.

Findings

Derivation of four-dimensional effective action from heterotic string on nearly-Kaehler manifolds

Identification of relevant coset spaces for dimensional reduction

Framework for analyzing supersymmetric compactifications

Abstract

The effective action in four dimensions resulting from the ten-dimensional N=1 heterotic supergravity coupled to N=1 supersymmetric Yang-Mills upon dimensional reduction over nearly-Kaehler manifolds is discussed. Nearly-Kaehler manifolds are an interesting class of manifolds admitting an SU(3)-structure and in six dimensions all homogeneous nearly-Kaehler manifolds are included in the class of the corresponding non-symmetric coset spaces plus a group manifold. Therefore it is natural to apply the Coset Space Dimensional Reduction scheme using these coset spaces as internal manifolds in order to determine the four-dimensional theory.