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

Blumenhagen, Ralph; Sun, Rui

doi:10.1007/JHEP02(2015)097

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

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Sun, Rui
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Zitation

Blumenhagen, R., & Sun, R. (2015). T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory. Journal of high energy physics: JHEP, 2015(02): 097. doi:10.1007/JHEP02(2015)097.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0024-689E-3

Zusammenfassung

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.