We propose that under certain conditions heterotic string compactifications on half-flat and nearly Kähler manifolds are equivalent. Based on this correspondence we argue that the moduli space of the nearly Kähler manifolds under discussion consists only of the Kähler deformations moduli space and there is no correspondent for the complex structure deformations.

• Received 10 September 2004

DOI:https://doi.org/10.1103/PhysRevD.70.126002