T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory

TL;DR

This paper explores T-duality in heterotic double field theory, revealing non-geometric backgrounds and connecting field redefinitions to Lie algebroid structures in generalized geometry.

Contribution

It demonstrates how T-dual configurations become non-geometric and links field redefinitions to Lie algebroids within heterotic generalized geometry.

Findings

T-duality leads to non-geometric backgrounds in heterotic DFT.

Field redefinitions correspond to Lie algebroid structures.

Simplified form of T-duals analogous to Q- and R-flux backgrounds.

Abstract

A number of issues in heterotic double field theory are studied. This includes the analysis of the T-dual configurations of a flat constant gauge flux background, which turn out to be non-geometric. Performing a field redefinition to a non-geometric frame, these T-duals take a very simple form reminiscent of the constant Q- and R-flux backgrounds. In addition, it is shown how the analysis of arXiv:1304.2784 generalizes to heterotic generalized geometry. For every field redefinition specified by an O(D,D+n) transformation, the structure of the resulting supergravity action is governed by the differential geometry of a corresponding Lie algebroid.