Domain walls of<i>D</i>= 8 gauged supergravities and their<i>D</i>= 11 origin

Alonso-Alberca, Natxo; Ortı́n, Tomás; Bergshoeff, Eric; Gran, Ulf; Linares, Román; Roest, Diederik

doi:10.1088/1126-6708/2003/06/038

Cited by 26 publications

(72 citation statements)

References 45 publications

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“…In [2], the n = 1 domain wall was found to correspond to the one-centre monopole, while we found in [7] that the n = 2 case uplifted to the near-horizon limit of the two-centre monopole solution. Both these solutions are non-singular upon uplifting whereas the n = 3 domain wall uplifts to a singular spacetime [15].…”

Section: Discussionmentioning

confidence: 61%

“…Indeed, the lower-dimensional field equations cannot be integrated to an action. An explicit representation of the Maurer-Cartan 1-forms for the general rank of the matrix Q was given in [7] in the case of class A. Including class B, i.e.…”

Section: Reduction Over a 3d Group Manifoldmentioning

confidence: 99%

“…In the gauged theory this, in general, is no longer a symmetry since it does not preserve the structure constants. The unbroken part is exactly given by the automorphism group of the structure constants as given in [7]. Of course it always includes the gauge group, which is embedded in GL(3, R) via…”

Section: Reduction Over a 3d Group Manifoldmentioning

confidence: 99%

“…In the recent papers [7,8], we performed a generalized dimensional reduction of D = 11 supergravity over three-dimensional group manifolds [9,10], leading to 0264-9381/04/101501+07$30.00 © 2004 IOP Publishing Ltd Printed in the UK S1501 …”

Section: Introductionmentioning

confidence: 99%

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Gauged supergravities from Bianchi's group manifolds

Bergshoeff

Gran

Linares

et al. 2004

Class. Quantum Grav.

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We construct maximal D = 8 gauged supergravities by the reduction of D = 11 supergravity over three-dimensional group manifolds. Such manifolds are classified into two classes, A and B, and eleven types. This Bianchi classification carries over to the gauged supergravities. The class A theories have 1/2 BPS domain wall solutions that uplift to purely gravitational solutions consisting of 7D Minkowski and a 4D Euclidean geometry. These geometries are generically singular. The two regular exceptions correspond to the nearhorizon limit of the single-or double-centre Kaluza-Klein monopole. In contrast, the class B supergravities are defined by a set of equations of motion that cannot be integrated to an action and allow for no 1/2 BPS domain walls.

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Section: Discussionmentioning

confidence: 61%

Section: Reduction Over a 3d Group Manifoldmentioning

confidence: 99%

Section: Reduction Over a 3d Group Manifoldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Gauged supergravities from Bianchi's group manifolds

Bergshoeff

Gran

Linares

et al. 2004

Class. Quantum Grav.

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“…It is the aim of this work to construct and investigate such solutions. This talk is a summary of [3,4,5,6,7].…”

Section: Introductionmentioning

confidence: 99%

Brane Solutions of Gravity-Dilaton-Axion Systems

Bergshoeff

Collinucci²,

Gran³

et al. 2005

AIP Conference Proceedings

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Abstract.We consider general properties of brane solutions of gravity-dilaton-axion systems. We focus on the case of 7-branes and instantons. In both cases we show that besides the standard solutions there are new deformed solutions whose charges take value in any of the three conjugacy classes of SL(2, R). In the case of 7-branes we find that for each conjugacy class the 7-brane solutions are 1/2 BPS. Next, we discuss the relation of the 7-branes with the DW/QFT correspondence. In particular, we show that the two (inequivalent) 7-brane solutions in the SO(2) conjugacy class have a nice interpretation as a distribution of (the so-called near horizon limit of) branes. This suggests a way to define the near-horizon limit of a 7-brane.In the case of instantons only the solutions corresponding to the R conjugacy class are 1/2 BPS. The solutions corresponding to the other two conjugacy classess correspond to non-extremal deformations. We first discuss an alternative description of these solutions as the geodesic motion of a particle in a two-dimensional AdS 2 space. Next, we discuss the instanton-soliton correspondence. In particular, we show that for two of the conjugacy classes the instanton action in D dimensions is given by the mass of the corresponding soliton which is a (non-extremal) black hole solution in D+1 dimension. We speculate on the role of the non-extremal instantons in calculating higher-derivative corrections to the string effective action and, after a generalization from a flat to a curved AdS 5 background, on their role in the AdS/CFT corresopondence.

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The Bianchi classification of maximal D = 8 gauged supergravities

Bergshoeff¹,

Gran

Linares

et al. 2004

Fortschritte der Physik

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We perform the generalized dimensional reduction of D = 11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct 11 different maximal D = 8 gauged supergravities, two of which have an additional parameter. One class of group manifolds (class B) leads to supergravities that are defined by a set of equations of motion that cannot be integrated to an action. All 1/2 BPS domain wall solutions are given. We also find a non-supersymmetric domain wall solution where the single transverse direction is time. This solution describes an expanding universe and upon reduction gives the Einstein-de Sitter universe in D = 4. The uplifting of the different solutions to M-theory and the isometries of the corresponding group manifold are discussed.

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Domain walls ofD= 8 gauged supergravities and theirD= 11 origin

Cited by 26 publications

References 45 publications

Gauged supergravities from Bianchi's group manifolds

Gauged supergravities from Bianchi's group manifolds

Brane Solutions of Gravity-Dilaton-Axion Systems

The Bianchi classification of maximal D = 8 gauged supergravities

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