Curved branes and cosmological (<i>a</i>,<i>b</i>)-models

Janssen, Bert

doi:10.1088/1126-6708/2000/01/044

Cited by 15 publications

(9 citation statements)

References 16 publications

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“…Suffice it to say that the usual brane-wave intersections [16] have F = F (x + , r), the wave being localized in the transverse space only. On the other hand, a Ricci-flat brane [17,18,19] can be constructed by taking F = F (x + , x i ), in which case the wave is now localized on the brane worldvolume, but not in the transverse space. In the near-horizon limit, one obtains solutions describing pp-waves propagating in anti-de Sitter space.…”

Section: Singular Brane-wavesmentioning

confidence: 99%

AdS/CFT in the infinite momentum frame

2001

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This paper considers the spacetimes describing pp-waves propagating on extremal non-dilatonic branes. It is shown that an observer moving along a geodesic will experience infinite curvature at the horizon of the brane, which should therefore be regarded as singular. Taking the decoupling limit of these brane-wave spacetimes gives a pp-wave in AdS, the simplest example being the Kaigorodov spacetime. It has been conjectured that gravity in this spacetime is dual to a CFT in the infinite momentum frame with constant momentum density. If correct, this implies that the CFT must resolve the singularity of the bulk spacetime. Evidence in favour of this conjecture is presented. The unbroken conformal symmetries determine the scalar 2-point function up to an arbitrary function of one variable. However, an AdS/CFT calculation shows that this function is constant (to leading order in 1/N 2 ) and the result is therefore the same as when the full conformal symmetry is unbroken. This paper also discusses a recently discovered Virasoro symmetry of metrics describing pp-waves in AdS and naked singularities in the Randall-Sundrum scenario. * email: Dominic.Brecher@durham.ac.uk †

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Section: Singular Brane-wavesmentioning

confidence: 99%

AdS/CFT in the infinite momentum frame

2001

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“…A typical p-brane solution is a warped product of two spacetimes, one describing a (p + 1)-dimensional Minkowski worldvolume and the other being the transverse space to the brane. For the solutions discussed in [29,30,31], the Einstein's equations of motion were shown to be satisfied also when the worldvolume metric is Ricci-flat. The curved solution obtained admits Killing spinors provided that its Ricci-flat worldvolume admits parallel spinors.…”

Section: Introductionmentioning

confidence: 96%

“…In the context of gauged supergravity models, black hole and brane solutions were discussed in many places (see for example [13,14,15,16,17,18,19,20,21,22,23,24,25,27,26,28]). In recent years certain supersymmetric curved p-brane and domain wall solutions were constructed [29,30,31]. A typical p-brane solution is a warped product of two spacetimes, one describing a (p + 1)-dimensional Minkowski worldvolume and the other being the transverse space to the brane.…”

Section: Introductionmentioning

confidence: 99%

Curved branes in AdS Einstein–Maxwell gravity and Killing spinors

Sabra

2003

Physics Letters B

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We determine the Killing spinors for a class of magnetic brane solutions with Minkowski worldvolume of the theory of AdS Einstein Maxwell theories in d dimensions. We also obtain curved magnetic brane solutions with Ricci-flat worldvolumes. If we demand that the curved brane solution admits Killing spinors, then its worldvolume must admit parallel spinors. Classes of Ricci-flat worldvolumes admitting parallel spinors are discussed. *

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“…Brane solutions with Ricci flat world-volumes have been obtained in [6] [7]. In [8] [9], more general brane solutions with curved world-volume directions have been studied. An intrinsic metric, representing non-trivially embedded D3-branes, has been given in [10].…”

Section: Introductionmentioning

confidence: 99%

New brane solutions from Killing spinor equations

Kaya¹

2000

Nuclear Physics B

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In a recent paper, we have pointed out a relation between the Killing spinor and Einstein equations. Using this relation, new brane solutions of D = 11 and D = 10 type IIB supergravity theories are constructed. It is shown that in a brane solution, the flat world-volume directions, the smeared transverse directions and the sphere located at a fixed radial distance can be replaced with any Lorentzian Ricci flat, Euclidean Ricci flat and Einstein manifolds, respectively. The solution obtained in this fashion is supersymmetric when the Ricci flat and Einstein manifolds have Killing spinors. We generalize intersecting brane solutions, in which M5, M2 and D3-branes also wrap over the cycles determined by the Kähler forms of Ricci flat Kähler manifolds. New, singular, Ricci flat manifolds as (generalized) cones over the U(1) bundles over Ricci flat Kähler spaces are constructed. These manifolds have covariantly constant spinors and give rise to new, supersymmetric, Ricci flat compactifications of non-gauged supergravity theories. We find M2 and D3-brane solutions, which asymptotically approach these singular vacua.

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Curved branes and cosmological (a,b)-models

Cited by 15 publications

References 16 publications

AdS/CFT in the infinite momentum frame

AdS/CFT in the infinite momentum frame

Curved branes in AdS Einstein–Maxwell gravity and Killing spinors

New brane solutions from Killing spinor equations

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