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A Connection for Born geometry and its application to DFT Rudolph, Felix


A doubled space which in addition to a neutral metric \eta and a generalized metric H contains a symplectic structure \omega has been dubbed a Born geometry. We construct the unique and fully determined connection compatible with these three objects and vanishing generalized torsion. The latter is related to an integrability condition on the structures of the doubled space. Double Field Theory can be seen as a limit of Born geometry where the symplectic form is constant. Hence the Born connection provides a unique connection for DFT.

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