Reducing the Heterotic Supergravity on nearly-Kähler coset spaces

We study the dimensional reduction of the N = 1, ten-dimensional Heterotic Supergravity to four dimensions, at leading order in α′, when the internal space is a coset manifold. Then we apply the formalism using as internal manifolds all possible six-dimensional nonsymmetric coset spaces, namely G2/SU(3), Sp4/(SU(2)× U(1))non−max and SU(3)/U(1)× U(1), which moreover are nearly-Kähler manifolds and preserve the supersymmetric spectrum. In these cases we determine the effective actions which turn out to describe N = 1 four-dimensional supergravities of the no-scale type.