Supersymmetric E7(7) exceptional field theory

Godazgar, Hadi; Godazgar, Mahdi; Hohm, Olaf; Nicolai, Hermann; Samtleben, Henning

doi:10.1007/jhep09(2014)044

Cited by 91 publications

(168 citation statements)

References 62 publications

(323 reference statements)

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“…The fermions will transform as scalar densities under generalized diffeomorphisms (2.5) and in the spinor representations of the local 'Lorentz group' SOp1, 2qˆSOp16q, as in [18,32]. For the E 7p7q EFT [3] the full supersymmetric completion has recently been constructed in [40].…”

Section: Discussionmentioning

confidence: 99%

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: Discussionmentioning

confidence: 99%

Exceptional field theory. III.E8(8)

2014

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“…The dynamics are again encoded by the corresponding generalised Levi-Civita connections [21,22]. That this geometry also describes the full ten-or elevendimensional theory was recently shown in [23] using the ideas of [24] and [25][26][27]. So far the generalised geometrical constructions have been classical.…”

Section: Jhep11(2014)160mentioning

confidence: 97%

Generalised geometry for string corrections

Coimbra

Minasian

Triendl

et al. 2014

J. High Energ. Phys.

141

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We present a general formalism for incorporating the string corrections in generalised geometry, which necessitates the extension of the generalised tangent bundle. Not only are such extensions obstructed, string symmetries and the existence of a welldefined effective action require a precise choice of the (generalised) connection. The action takes a universal form given by a generalised Lichnerowitz-Bismut theorem. As examples of this construction we discuss the corrections linear in α ′ in heterotic strings and the absence of such corrections for type II theories.

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“…Here we will review the E 6(6) exceptional field theory with a particular emphasis on the explicit embedding of type IIB supergravity. The exceptional field theories in higher dimensions have been constructed in [32][33][34] and the supersymmetric completions have been given in [35,36].…”

Section: Introductionmentioning

confidence: 99%

Supergravity and Exceptional Field Theory

Baguet¹,

Hohm²,

Samtleben³

2015

Proceedings of Proceedings of the Corfu Summer Institute 2014 — PoS(CORFU2014)

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We review E 6(6) exceptional field theory with a particular emphasis on the embedding of type IIB supergravity, which is obtained by picking the GL(5) × SL(2) invariant solution of the section constraint. We work out the precise decomposition of the E 6(6) covariant fields on the one hand and the Kaluza-Klein-like decomposition of type IIB supergravity on the other. Matching the symmetries, this allows to establish the precise dictionary between both sets of fields. Finally, we establish on-shell equivalence. In particular, we show how the self-duality constraint for the fourform potential in type IIB is reconstructed from the duality relations in the off-shell formulation of the E 6(6) exceptional field theory.

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Supersymmetric E7(7) exceptional field theory

Cited by 91 publications

References 62 publications

Exceptional field theory. III.E8(8)

Exceptional field theory. III.E8(8)

Generalised geometry for string corrections

Supergravity and Exceptional Field Theory

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