Non-Kahler heterotic rotations

TL;DR

This paper develops a method to generate non-Kahler heterotic solutions with preserved supersymmetry, constructing deformations of Calabi-Yau manifolds with U(1) symmetry and exploring their string theory embeddings.

Contribution

It introduces a solution-generating technique for heterotic supergravity that produces non-Kahler deformations of Calabi-Yau manifolds while maintaining supersymmetry.

Findings

Constructed one-parameter non-Kahler deformations with U(1) isometry.

Demonstrated embedding of Abelian heterotic supergravity into type II supergravity.

Linked the solution-generating method to dipole deformations in field theory duals.

Abstract

We study a supersymmetry-preserving solution-generating method in heterotic supergravity. In particular, we use this method to construct one-parameter non-Kahler 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 \alpha', 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.