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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Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
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TL;DR: In this article, a Cartan-like tensor calculus based on a covariant nil-potent differential is introduced, which generalizes the exterior derivative of conventional differential geometry.
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Non-associative deformations of geometry in double field theory
TL;DR: In this article, the structure of mathematically possible non-associative deformations of DFT is analyzed in detail and it is argued that on-shell there should not be any violation of associativity.
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Generalized metric formulation of double field theory on group manifolds
TL;DR: In this paper, a generalized metric formulation of double field theory on group manifolds was proposed and shown to be invariant under generalized dieomorphisms and 2D-dieomorphisms.
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Entanglement, Holography and Causal Diamonds
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