The spacetime of double field theory: Review, remarks, and outlook

By O. Hohm, D. Lust, B. Zwiebach. 2013

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We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b‐field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimensional reduction, the O(d,d) T‐duality transformations of fields can be obtained as generalized diffeomorphisms. Restricted to a half‐dimensional subspace, DFT includes ‘generalized geometry’, but is more general in that local patches of the doubled space may be glued together with generalized coordinate transformations. Indeed, we show that for certain T‐fold backgrounds with non‐geometric fluxes, there are generalized coordinate transformations that induce, as gauge symmetries of DFT, the requisite O(d,d;ℤ) monodromy transformations. Finally we review recent results on the α′ extension of DFT which, reduced to the half‐dimensional subspace, yields intriguing modifications of the basic structures of generalized geometry.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/75b67f91f4df700933b9de2b468b49ae061d3742

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Exceptional field theory. II. E$_{7(7)}$ (2013, background): “ are subject to a covariant section constraint which implies that only a subset of the 56 internal coordinates is physical. The constraint can be written in terms of the E7p7q generators ptαq MN 1See [9] for a review and further references. 2 Such generalized spacetimes also appear in the proposal o”