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

Berman, David S.; Blair, Chris D. A.; Malek, Emanuel; Rudolph, Felix J.

doi:10.1088/0264-9381/33/19/195009

Cited by 61 publications

(113 citation statements)

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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%

“…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%

“…71) where · represents the adjoint action of E 6(6) and the J i generate a highest weight SU(2) subalgebra of E 6(6) . Here we have rescaled the scalar density κ relative to that in [87] by…”

Section: Relation To N = 2 Structuresmentioning

confidence: 99%

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Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

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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%

Section: Review Of Exceptional Field Theorymentioning

confidence: 99%

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Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

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168

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“…Finally, L quartic denotes the quartic fermion terms. We expect these to coincide with the corresponding terms of the three-dimensional theory [27,28] 15) but as far as this paper is concerned we will only deal with fermions at quadratic order. For the proof of invariance of (4.14) under supersymmetry (3.3), we first note that all terms that do not carry internal derivatives cancel precisely as in the three-dimensional theory.…”

Section: Jhep09(2016)168mentioning

confidence: 98%

“…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%

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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A Kaluza–Klein Approach to Double and Exceptional Field Theory

Berman

2019

Fortschritte der Physik

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We examine the challenge of viewing all the fields in supergravity as arising from a Kaluza–Klein like dimensional reduction of some higher‐dimensional theory. This gives rise to what is known as exceptional field theory or double field theory. A particular emphasis is placed on following the Kaluza–Klein intuition leading to the identification of charged states and a reinterpretation of the central charges. We further give a description of the novel extended geometry as a generalised phase space and the relationship to string and M‐theory theory and the notion of quantization.

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

Cited by 61 publications

References 103 publications

Half‐Maximal Supersymmetry from Exceptional Field Theory

Half‐Maximal Supersymmetry from Exceptional Field Theory

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

A Kaluza–Klein Approach to Double and Exceptional Field Theory

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