The maximal supergravities

Samtleben, Henning; Weidner, Martin

doi:10.1016/j.nuclphysb.2005.07.028

Cited by 107 publications

(269 citation statements)

References 27 publications

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“…The embedding tensor X AB C in this case transforms in the 15+40 representation of SL(5, R) [49]. From the form of the frame algebra (2.40), one finds that the two components are given by 25) which reproduces the standard embedding tensor of maximal seven-dimensional SO(5) gauged supergravity [50].…”

Section: Other Parallelisationsmentioning

confidence: 86%

Spheres, Generalised Parallelisability and Consistent Truncations

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

168

363

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We show that generalised geometry gives a unified description of maximally supersymmetric consistent truncations of ten-and eleven-dimensional supergravity. In all cases the reduction manifold admits a "generalised parallelisation" with a frame algebra with constant coefficients. The consistent truncation then arises as a generalised version of a conventional Scherk-Schwarz reduction with the frame algebra encoding the embedding tensor of the reduced theory. The key new result is that all round-sphere S d geometries admit such generalised parallelisations with an SO(d + 1) frame algebra. Thus we show that the remarkable consistent truncations on S 3 , S 4 , S 5 and S 7 are in fact simply generalised Scherk-Schwarz reductions. This description leads directly to the standard non-linear scalar-field ansatze and as an application we give the full scalar-field ansatz for the type IIB truncation on S 5 .

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Section: Other Parallelisationsmentioning

confidence: 86%

Spheres, Generalised Parallelisability and Consistent Truncations

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

168

363

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“…We will consider the embedding tensor of the maximal supergravity theory, and then we will take into account only the components that survive in the N = 1 model. The representations of the global symmetry group of any maximal supergravity theory to which the embedding tensor belongs were derived in a series of papers [57][58][59][60]. In particular, in four dimensions the embedding tensor belongs to the 912 of E 7 (7) .…”

Section: Jhep12(2016)114mentioning

confidence: 99%

P fluxes and exotic branes

Lombardo

Riccioni

Risoli

2016

J. High Energ. Phys.

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Abstract:We consider the N = 1 superpotential generated in type-II orientifold models by non-geometric fluxes. In particular, we focus on the family of P fluxes, that are related by T-duality transformations to the S-dual of the Q flux. We determine the general rule that transforms a given flux in this family under a single T-duality transformation. This rule allows to derive a complete expression for the superpotential for both the IIA and the IIB theory for the particular case of a T 6 /[Z 2 × Z 2 ] orientifold. We then consider how these fluxes modify the generalised Bianchi identities. In particular, we derive a fully consistent set of quadratic constraints coming from the NS-NS Bianchi identities. On the other hand, the P flux Bianchi identities induce tadpoles, and we determine a set of exotic branes that can be consistently included in order to cancel them. This is achieved by determining a universal transformation rule under T-duality satisfied by all the branes in string theory.

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“…The discussion in this section will remain rather general and will neither depend on G nor on the space-time dimension. We refer to [1,4,[12][13][14] where a number of results was described for maximal supergravity in various dimensions. The gauge group embedding is defined by specifying its generators X M , 3 which couple to the gauge fields A µ M in the usual fashion, and which can be decomposed in terms of the independent G-generators t α , i.e.,…”

Section: Gauge Deformationsmentioning

confidence: 99%

“…Covariant derivatives thus take the form, 12) and similarly for D µ Z M . The gauge fields then transform according to…”

Section: The P-form Hierarchy In Four Space-time Dimensionsmentioning

confidence: 99%

Supergravity and M-theory

Wit

Zalk

2009

Gen Relativ Gravit

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Supergravity provides the effective field theories for string compactifications. The deformation of the maximal supergravities by non-abelian gauge interactions is only possible for a restricted class of charges. Generically these 'gaugings' involve a hierarchy of p-form fields which belong to specific representations of the duality group. The group-theoretical structure of this p-form hierarchy exhibits many interesting features. In the case of maximal supergravity the class of allowed deformations has intriguing connections with M/string theory.

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The maximal supergravities

Cited by 107 publications

References 27 publications

Spheres, Generalised Parallelisability and Consistent Truncations

Spheres, Generalised Parallelisability and Consistent Truncations

P fluxes and exotic branes

Supergravity and M-theory

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