U-duality covariant gravity

Hohm, Olaf; Samtleben, Henning

doi:10.1007/jhep09(2013)080

Cited by 56 publications

(113 citation statements)

References 76 publications

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“…On the other hand, gauge invariance for general ξ µ px, Y q determines all relative coefficients, as we shall demonstrate in the following. The computation closely follows the analogous discussion for the SLp2, Rq-covariant formulation of four-dimensional Einstein gravity [20]. 4 Under general external diffeomorphisms, the external and internal metric transform in the standard (but covariantized) way…”

Section: The Actionmentioning

confidence: 56%

“…In other words, invariance of an action under generalized diffeomorphisms Λ M implies its invariance under further Σ M gauge transformations, as we shall explicitly confirm. This type of gauge structure has first been revealed in the baby example of an SLp2q covariant formulation of four-dimensional Einstein gravity [20].…”

Section: Introductionmentioning

confidence: 88%

“…In general, their gauge transformations can be computed from 20) with the E-bracket defined by (2.16). Using (2.17) one computes for the components…”

Section: Gauge Fields For E 8p8q E-bracketmentioning

confidence: 99%

“…The transformation behavior of the gauge vectors is more complicated. Inspired by the SLp2, Rq case [20], for these fields we start from the ansatz…”

Section: The Actionmentioning

confidence: 99%

“…Next we consider the non-covariant variation of the covariantized Einstein-Hilbert term, which is given by [20] 28) where the second term comes from the non-covariant transformation (3.24) of the vector field A µ M via (3.27). The non-covariant variation of the Chern-Simons term follows from (3.9) and yields 29) up to total derivatives.…”

Section: The Actionmentioning

confidence: 99%

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Exceptional field theory. III.E8(8)

2014

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We develop exceptional field theory for E 8p8q , defined on a (3+248)-dimensional generalized spacetime with extended coordinates in the adjoint representation of E 8p8q . The fields transform under E 8p8q generalized diffeomorphisms and are subject to covariant section constraints. The bosonic fields include an 'internal' dreibein and an E 8p8q -valued 'zweihundertachtundvierzigbein' (248-bein). Crucially, the theory also features gauge vectors for the E 8p8q E-bracket governing the generalized diffeomorphism algebra and covariantly constrained gauge vectors for a separate but constrained E 8p8q gauge symmetry. The complete bosonic theory, with a novel Chern-Simons term for the gauge vectors, is uniquely determined by gauge invariance under internal and external generalized diffeomorphisms. The theory consistently comprises components of the dual graviton encoded in the 248-bein. Upon picking particular solutions of the constraints the theory reduces to D " 11 or type IIB supergravity, for which the dual graviton becomes pure gauge. This resolves the dual graviton problem, as we discuss in detail.

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Section: The Actionmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 88%

“…In general, their gauge transformations can be computed from 20) with the E-bracket defined by (2.16). Using (2.17) one computes for the components…”

Section: Gauge Fields For E 8p8q E-bracketmentioning

confidence: 99%

“…The transformation behavior of the gauge vectors is more complicated. Inspired by the SLp2, Rq case [20], for these fields we start from the ansatz…”

Section: The Actionmentioning

confidence: 99%

Section: The Actionmentioning

confidence: 99%

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Exceptional field theory. III.E8(8)

2014

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

Hohm¹,

Lüst

Zwiebach³

2013

Fortschritte der Physik

242

302

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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 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.

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Cosmological implications from O(D, D)

Chen

2014

Fortschritte der Physik

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U-duality covariant gravity

Cited by 56 publications

References 76 publications

Exceptional field theory. III.E8(8)

Exceptional field theory. III.E8(8)

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

Cosmological implications from O(D, D)

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