The spacetime of double field theory: Review, remarks, and outlook
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In this paper, the authors review double field theory with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations.Abstract:
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 nongeometric 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.read more
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The Topology of Double Field Theory
TL;DR: In this article, the authors describe the doubled space of Double Field Theory as a group manifold with an arbitrary generalized metric, and they construct Strong Constraint solutions, which are maximal isotropic submanifolds in the group manifold.
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On T-duality transformations for the three-sphere
TL;DR: In this paper, collective T-duality transformations along one, two and three directions of isometry for the three-sphere with H -flux are studied, and the resulting backgrounds turn out to be geometric in nature.
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Enhanced gauge symmetry and winding modes in Double Field Theory
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Nonassociative geometry and twist deformations in non-geometric string theory
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Perturbative double field theory on general backgrounds
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TL;DR: In this article, the perturbation theory of double field theory around arbitrary solutions of its field equations is developed, and the exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the field fluctuations.
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Double Field Theory
Chris Hull,Barton Zwiebach +1 more
TL;DR: In this article, a theory of massless fields on the doubled torus was constructed, which includes usual and dual diffeomorphisms, together with a T-duality acting on fields that have explicit dependence on the torus coordinates and the dual coordinates.