The Bianchi classification of maximal <i>D</i> = 8 gauged supergravities

Bergshoeff, Eric; Gran, Ulf; Linares, Román; Nielsen, Mikkel; Ortı́n, Tomás; Roest, Diederik

doi:10.1002/prop.200310132

Cited by 10 publications

(14 citation statements)

References 36 publications

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“…Some of these theories have a definite higher-dimensional origin, such as the Scherk-Schwarz and sphere compactifications. In eight space-time dimensions, the possible compactifications of D = 11 supergravity on three-manifolds have been analyzed in [23] and matched with the corresponding gauged supergravities. It would be very interesting to extend this analysis to the seven-dimensional case, in particular providing a higher-dimensional origin for all the theories collected in Table 3.…”

Section: Discussionmentioning

confidence: 99%

The maximal supergravities

2005

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The general seven-dimensional maximal supergravity is presented. Its universal Lagrangian is described in terms of an embedding tensor which can be characterized group-theoretically. The theory generically combines vector, two-form and three-form tensor fields that transform into each other under an intricate set of nonabelian gauge transformations. The embedding tensor encodes the proper distribution of the degrees of freedom among these fields. In addition to the kinetic terms the vector and tensor fields contribute to the Lagrangian with a unique gauge invariant Chern-Simons term. This new formulation encompasses all possible gaugings. Examples include the sphere reductions of M theory and of the type IIA/IIB theories with gauge groups SO(5), CSO(4, 1), and SO(4), respectively. June 2005

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Section: Discussionmentioning

confidence: 99%

The maximal supergravities

2005

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“…[47][48][49]. In addition, there are gauged maximal supergravities that do not have an action but only have field equations [50,51]; such theories do not allow for domain wall solutions, however. It would be interesting to investigate the structure of such gaugings and to establish whether the absence of domain wall solutions is a general feature of these theories.…”

Section: Discussionmentioning

confidence: 99%

The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin

Bergshoeff

Nielsen

Roest

2004

J. High Energy Phys.

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We consider gauged maximal supergravities with CSO(p, q, r) gauge groups and their relation to the branes of string and M-theory. The gauge groups are characterised by n mass parameters, where n is the transverse dimension of the brane. We give the scalar potentials and construct the corresponding domain wall solutions. In addition, we show the higher-dimensional origin of the domain walls in terms of (distributions of) branes.We put particular emphasis on the CSO(p, q, r) gauged supergravities in D = 9 and D = 8, which are related to the D7-brane and D6-brane, respectively. In these cases, twisted and group manifold reductions are shown to play a crucial role. We also discuss salient features of the corresponding brane distributions.

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“…The resulting 4D field content is {g µν , M mn , ϕ}, where M mn parametrizes the coset SL(3, R)/SO(3) and contains two dilatons and three axions (see [58,61] for an explicit representation in terms of the five scalars). In all cases but one we will consider the following truncated parametrization of the scalar coset:…”

Section: Group Manifold Reductionsmentioning

confidence: 99%

Transient quintessence from group manifold reductions or how all roads lead to Rome

Bergshoeff

Collinucci

Gran

et al. 2004

Class. Quantum Grav.

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We investigate the accelerating phases of cosmologies supported by a metric, scalars and a single exponential scalar potential. The different solutions can be represented by trajectories on a sphere and we find that quintessence happens within the "arctic circle" of the sphere.Furthermore, we obtain multi-exponential potentials from 3D group manifold reductions of gravity, implying that such potentials can be embedded in gauged supergravities with an M-theory origin. We relate the double exponential case to flux compactifications on maximally symmetric spaces and S-branes. In the triple exponential case our analysis suggests the existence of two exotic S(D − 3)-branes in D dimensions.

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The Bianchi classification of maximal D = 8 gauged supergravities

Cited by 10 publications

References 36 publications

The maximal supergravities

The maximal supergravities

The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin

Transient quintessence from group manifold reductions or how all roads lead to Rome

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