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

Baguet, Arnaud; Samtleben, Henning

doi:10.1007/jhep09(2016)168

Cited by 27 publications

(26 citation statements)

References 37 publications

(113 reference statements)

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“…With these relations we can relate the general variation (2.71) of the Chern-Simons term to its 'covariant variation' as used in [26]. Indeed, one quickly sees, upon adding and subtracting connection terms, that…”

Section: Covariant Derivatives and Variationsmentioning

confidence: 99%

O(d+1, d+1) enhanced double field theory

Hohm

Musaev

Samtleben

2017

J. High Energ. Phys.

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Double field theory yields a formulation of the low-energy effective action of bosonic string theory and half-maximal supergravities that is covariant under the T-duality group O(d, d) emerging on a torus T d . Upon reduction to three spacetime dimensions and dualisation of vector fields into scalars, the symmetry group is enhanced to O(d+1, d+1). We construct an enhanced double field theory with internal coordinates in the adjoint representation of O(d + 1, d + 1). Its section constraints admit two inequivalent solutions, encoding in particular the embedding of D = 6 chiral and non-chiral theories, respectively. As an application we define consistent generalized Scherk-Schwarz reductions using a novel notion of generalized parallelization. This allows us to prove the consistency of the truncations of D = 6, N = (1, 1) and D = 6, N = (2, 0) supergravity on AdS 3 × S 3 .

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Section: Covariant Derivatives and Variationsmentioning

confidence: 99%

O(d+1, d+1) enhanced double field theory

Hohm

Musaev

Samtleben

2017

J. High Energ. Phys.

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“…Their associated gauge transformations with parameter Σ N M are then responsible for closure of the full diffeomorphism algebra. Fields of the same two-index structure appear in E 8 exceptional field theory among the two-forms and are required in order to close the algebra of gauge transformations and supersymmetry on the vector fields [23,50]. In index-free notation, we will denote the new gauge parameter as 13) to keep track of its two-index nature (keeping in mind that in general this matrix is not factorised).…”

Section: Generalised Diffeomorphismsmentioning

confidence: 99%

Generalized diffeomorphisms for E9

et al. 2017

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We construct generalised diffeomorphisms for E 9 exceptional field theory. The transformations, which like in the E 8 case contain constrained local transformations, close when acting on fields. This is the first example of a generalised diffeomorphism algebra based on an infinite-dimensional Lie algebra and an infinite-dimensional coordinate module. As a byproduct, we give a simple generic expression for the invariant tensors used in any extended geometry. We perform a generalised Scherk-Schwarz reduction and verify that our transformations reproduce the structure of gauged supergravity in two dimensions. The results are valid also for other affine algebras.1

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“…Requiring invariance under all these local symmetries fixes the bosonic part of the action. 5 Furthermore, the supersymmetric completion has been constructed [43,58,59]. Thus ExFT provides a full reformulation of the maximally supersymmetric 10-and 11-dimensional supergravities, treating them simply as different solutions to the section condition.…”

Section: Supergravity Is a Theory Invariant Under Diffeomorphisms Andmentioning

confidence: 99%

O-folds. Orientifolds and orbifolds in exceptional field theory

Blair

Malek

Thompson

2018

J. High Energ. Phys.

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We describe conventional orientifold and orbifold quotients of string and M-theory in a unified approach based on exceptional field theory (ExFT). Using an extended spacetime, ExFT combines all the maximal ten and eleven dimensional supergravities into a single theory manifesting a global symmetry corresponding to the exceptional series of Lie groups. Here we will see how this extends to half-maximal theories by showing how a single Z 2 generalised orbifold (or O-fold), of ExFT gives rise to M-theory on an interval, type II with orientifold planes and the heterotic theories in an elegant fashion. We study in more detail such orbifold and orientifold actions preserving half-maximal supersymmetry, and show how the half-maximal structure of ExFT permits the inclusion of localised non-Abelian vector multiplets located at the orbifold fixed points. This allows us to reproduce for the Z 2 example the expected modifications to the gauge transformations, Bianchi identities and actions of the theories obtained from the single ExFT starting point. We comment on the prospects of studying anomaly cancellation and more complicated, non-perturbative O-folds in the ExFT framework.

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

Cited by 27 publications

References 37 publications

O(d+1, d+1) enhanced double field theory

O(d+1, d+1) enhanced double field theory

Generalized diffeomorphisms for E9

O-folds. Orientifolds and orbifolds in exceptional field theory

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