Non-Kähler heterotic rotations

We study a supersymmetry-preserving solution-generating method in heterotic supergravity.In particular, we use this method to construct one-parameter non-Kähler deformations of Calabi-Yau manifolds with a U (1) isometry, in which the complex structure remains invariant.We explain how to obtain corresponding solutions to heterotic string theory, up to first order in α , by a modified form of the standard embedding.In the course of the paper we also show that Abelian heterotic supergravity embeds into type II supergravity, and note that the solution-generating method in this context is related to a dipole-type deformation when there is a field theory dual.1 Another generating method, that uses a chain of U-dualities, was proposed in [6,19] and may also be interpreted as a certain non-commutative deformation.