Nearly‐Kähler dimensional reduction of the heterotic string

Abstract

The effective action in four dimensions resulting from the ten-dimensional N = 1 heterotic supergravity coupled to N = 1 supersymmetric YangMills upon dimensional reduction over nearly-Kähler manifolds is discussed. Nearly-Kähler manifolds are an interesting class of manifolds admitting an SU(3)-structure and in six dimensions all homogeneous nearly-Kähler 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.