Abstract
The generalized metric is a T-duality covariant symmetric matrix constructed from the metric and two-form gauge field and arises in generalized geometry. We view it here as a metric on the doubled spacetime and use it to give a simple formulation with manifest T-duality of the double field theory that describes the massless sector of closed strings. The gauge transformations are written in terms of a generalized Lie derivative whose commutator algebra is defined by a double field theory extension of the Courant bracket.
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ArXiv ePrint: 1006.4823
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Hohm, O., Hull, C. & Zwiebach, B. Generalized metric formulation of double field theory. J. High Energ. Phys. 2010, 8 (2010). https://doi.org/10.1007/JHEP08(2010)008
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DOI: https://doi.org/10.1007/JHEP08(2010)008