The spacetime of double field theory: Review, remarks, and outlook
Reads0
Chats0
TLDR
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
Citations
More filters
Journal ArticleDOI
Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
Olaf Hohm,Henning Samtleben +1 more
TL;DR: In this article, the Kaluza-Klein vector field acts as a gauge field for the E-bracket, requiring the presence of 2-forms akin to the tensor hierarchy of gauged supergravity.
Journal ArticleDOI
Exceptional field theory. III. E8(8)
Olaf Hohm,Henning Samtleben +1 more
TL;DR: In this paper, the authors developed exceptional field theory for E8p8q, defined on a (3+248)-dimensional gener- alized spacetime with extended coordinates in the adjoint representation of E8 p8q. The theory consistently comprises components of the dual graviton encoded in the 248 bein.
Journal ArticleDOI
Exceptional field theory. II. E$_{7(7)}$
Olaf Hohm,Henning Samtleben +1 more
TL;DR: In this paper, the exceptional field theory for the group E 7 (7 ), based on a ( 4 + 56 ) -dimensional spacetime subject to a covariant section condition, is introduced.
Journal ArticleDOI
Consistent Kaluza-Klein truncations via exceptional field theory
Olaf Hohm,Henning Samtleben +1 more
TL;DR: In this article, the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional eld theory in terms of group valued twist matrices subject to consistency equations is presented.
Journal ArticleDOI
Entanglement, holography and causal diamonds
TL;DR: In this article, the degrees of freedom in a d-dimensional CFT can be reorganized in an insightful way by studying observables on the moduli space of causal diamonds (or equivalently, the space of pairs of timelike separated points).
References
More filters
Journal ArticleDOI
Gauged Double Field Theory
Mariana Graña,Diego Marques +1 more
TL;DR: In this article, necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries were found.
Journal ArticleDOI
Generalized Geometry and M theory
TL;DR: In this paper, the authors reformulate the Hamiltonian form of bosonic eleven-dimensional supergravity in terms of an object that unifies the three-form and the metric.
Journal ArticleDOI
Double field theory and N = 4 gauged supergravity
TL;DR: In this article, a Scherk-Schwarz reduction of double field theory was proposed, yielding electric gaugings of half-maximal supergravity in four dimensions when integrability conditions are assumed.
Journal ArticleDOI
The Local symmetries of M-theory and their formulation in generalised geometry
TL;DR: In this article, an analogous structure for the extended geometry of M-theory is constructed for the physical section condition for Mtheory formulated in an extended space, where the local symmetries are given by a generalised Lie derivative and its associated algebra.
Journal ArticleDOI
Duality invariant actions and generalised geometry
TL;DR: In this paper, a non-linear realisation of the duality groups of the semi-direct product of E − 11 and its first fundamental representation at lowest order and appropriate to spacetime dimensions four to seven is presented.