Exceptional field theory: SL(5)

Musaev, Edvard T.

doi:10.1007/jhep02(2016)012

Cited by 94 publications

(129 citation statements)

References 58 publications

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“…. , and we refer to [3,4,52,53,[69][70][71][72] for further details. Finally, the d internal coordinates are viewed as part of an enlarged coordinate space Y M which forms the R 1 representation of…”

Section: Review Of Exceptional Field Theorymentioning

confidence: 99%

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Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

168

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We study D ≥ 4-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal Minkowski D and AdS D vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO(d−1−N ) structures, where d = 11−D, and N is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all D ≥ 4 half-maximal warped AdS D and Minkowski D vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new SO(5, N ) double field theory with a (6 + N )-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional N = 1 supergravity and another yielding six-dimensional N = (2, 0) SUGRA.

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Section: Review Of Exceptional Field Theorymentioning

confidence: 99%

“…One can write a unique action for exceptional field theory that is invariant under generalised diffeomorphisms, up to the section condition [3,4,53,[69][70][71]. Upon solving the section condition (2.4) this reduces to the action of 10-or 11-dimensional SUGRA.…”

Section: Review Of Exceptional Field Theorymentioning

confidence: 99%

Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

168

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“…Originally developed in terms of an extended geometry [22][23][24][25][27][28][29][30] geometrising the E d(d) groups acting on a truncated d-dimensional theory, there is now a systematic method for constructing EFT in a form which is fully equivalent to the whole 11-or 10-dimensional supergravities [26]. So far EFTs have been developed for 3 ≤ d ≤ 8: E 8 [31], E 7 [32], E 6 [33], SO (5,5) [34], SL(5) [35] and SL(3) × SL(2) [36] theory, including the supersymmetrisation of the E 7 and E 6 cases [37,38].…”

Section: Introductionmentioning

confidence: 99%

An action for F-theory: $\mathrm{SL}(2){{\mathbb{R}}}^{+}$ exceptional field theory

Berman¹,

Blair²,

Malek³

et al. 2016

Class. Quantum Grav.

112

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We construct the 12-dimensional exceptional field theory associated to the group SL(2)× R + . Demanding the closure of the algebra of local symmetries leads to a constraint, known as the section condition, that must be imposed on all fields. This constraint has two inequivalent solutions, one giving rise to 11-dimensional supergravity and the other leading to F-theory. Thus SL(2) × R + exceptional field theory contains both F-theory and M-theory in a single 12-dimensional formalism.

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“…For the lower rank groups E 5(5) = D 5(5) , E 4(4) = A 4(4) , E 3(3) = A 2(2) ⊗ A 1 (1) , and E 2(2) = A 1(1) ⊗ R + , these theories have been constructed in [12][13][14][15]. Remarkably, this construction uniquely reproduces the full bosonic sectors of the higher-dimensional supergravities without any reference to the fermionic field content and supersymmetry.…”

Section: Jhep09(2016)168mentioning

confidence: 99%

“…the fact that pure Λ-transformations do not close into an algebra implies that the naive definition of torsion as 14) does no longer define a tensorial object. Here, L ∇ refers to generalized Lie derivatives (2.9) with partial derivatives replaced by covariant ones ∇ = ∂ − Γ.…”

Section: Jhep09(2016)168mentioning

confidence: 99%

E8(8) exceptional field theory: geometry, fermions and supersymmetry

Baguet

Samtleben

2016

J. High Energ. Phys.

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We present the supersymmetric extension of the recently constructed E 8(8) exceptional field theory -the manifestly U-duality covariant formulation of the untruncated ten-and eleven-dimensional supergravities. This theory is formulated on a (3+248) dimensional spacetime (modulo section constraint) in which the extended coordinates transform in the adjoint representation of E 8(8) . All bosonic fields are E 8(8) tensors and transform under internal generalized diffeomorphisms. The fermions are tensors under the generalized Lorentz group SO(1, 2) × SO(16), where SO(16) is the maximal compact subgroup of E 8(8) . Vanishing generalized torsion determines the corresponding spin connections to the extent they are required to formulate the field equations and supersymmetry transformation laws. We determine the supersymmetry transformations for all bosonic and fermionic fields such that they consistently close into generalized diffeomorphisms. In particular, the covariantly constrained gauge vectors of E 8(8) exceptional field theory combine with the standard supergravity fields into a single supermultiplet. We give the complete extended Lagrangian and show its invariance under supersymmetry. Upon solution of the section constraint the theory reduces to full D=11 or type IIB supergravity.

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Exceptional field theory: SL(5)

Cited by 94 publications

References 58 publications

Half‐Maximal Supersymmetry from Exceptional Field Theory

Half‐Maximal Supersymmetry from Exceptional Field Theory

An action for F-theory: $\mathrm{SL}(2){{\mathbb{R}}}^{+}$ exceptional field theory

E8(8) exceptional field theory: geometry, fermions and supersymmetry

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