A geometric formulation of exceptional field theory

Bosque, Pascal du; Haßler, Falk; Lüst, Dieter; Malek, Emanuel

doi:10.1007/jhep03(2017)004

Cited by 13 publications

(27 citation statements)

References 131 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%

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%

Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

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168

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“…Under the above dualities, we also find from (B.13) that the wrapping modes 66) JHEP01 (2018)050 become momenta. As discussed in section 4.2.5, the topology of N 5 2 implies that both w 12 = w 2 KK = 0.…”

Section: Jhep01(2018)050mentioning

confidence: 69%

“…As has already been argued in [43,[49][50][51][66][67][68][69], the tensor hierarchy of exceptional field theory defines a chain complex and its tensors can be thought of as the exceptional generalisation of differential forms. To capture the missing momenta, it seems likely that one should consider generalised vector fields V , since these contain two-forms, five-forms, etc., which are "closed" but not exact.…”

Section: Jhep01(2018)050mentioning

confidence: 99%

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Locally non-geometric fluxes and missing momenta in M-theory

Lüst

Malek

Syväri

2018

J. High Energ. Phys.

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We use exceptional field theory to describe locally non-geometric spaces of M-theory of more than three dimensions. For these spaces, we find a new set of locally non-geometric fluxes which lie in the R-R sector in the weak-coupling limit and can typically be characterised by mixed symmetry tensors. These spaces thus provide new examples of non-geometric backgrounds which go beyond the NS-NS sector of string theory. Starting from twisted tori we construct duality chains that lead to these new non-geometric backgrounds and we show that, just as in the four-dimensional case, there are missing momenta associated to the mixed symmetry tensors.

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“…The next step in our research will be the extension of the DFT WZW framework to Exceptional Field Theories [34]. In this context, we are also going to answer the problem of solving the strong constraint/section condition in DFT WZW , see [33], and curved EFT.…”

Section: Discussionmentioning

confidence: 99%

Double Field Theory on Group Manifolds in a Nutshell

Bosque¹,

Blumenhagen²,

Haßler³

et al. 2017

Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)

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We give a brief overview into the current status of Double Field Theory on Group Manifolds (DFT WZW ). Therefore, we start by reviewing some basic notions known from Double Field Theory (DFT) and show how they extend/generalize into the framework of Double Field Theory on Group Manifolds. In this context, we discuss the relationship between both theories and the transition from DFT WZW to DFT. Furthermore, we address some open questions and present an outlook into our current research.

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A geometric formulation of exceptional field theory

Cited by 13 publications

References 131 publications

Half‐Maximal Supersymmetry from Exceptional Field Theory

Half‐Maximal Supersymmetry from Exceptional Field Theory

Locally non-geometric fluxes and missing momenta in M-theory

Double Field Theory on Group Manifolds in a Nutshell

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