Non-supersymmetric membrane flows from fake supergravity and multi-trace deformations

Papadimitriou, Ioannis

doi:10.1088/1126-6708/2007/02/008

Cited by 39 publications

(59 citation statements)

References 54 publications

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“…Here we pointed out another form of the solution where the potential is bounded and λ > 0. Using the results of [29], this model can be lifted to M-theory, where the value of λ is completely determined by the geometric set-up [23].…”

Section: Discussion and Outlookmentioning

confidence: 99%

Instantons and conformal holography

Haro

Petkou

2006

J. High Energy Phys.

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We study a subsector of the AdS 4 /CFT 3 correspondence where a class of solutions in the bulk and on the boundary can be explicitly compared. The bulk gravitational theory contains a conformally coupled scalar field with a φ 4 potential, and is holographically related to a massless scalar with a φ 6 interaction in three dimensions. We consider the scalar sector of the bulk theory and match bulk and boundary classical solutions of the equations of motion. Of particular interest is the matching of the bulk and the boundary instanton solutions which underlies the relationship between bulk and boundary vacua with broken conformal invariance. Using a form of radial quantization we show that quantum states in the bulk correspond to multiply-occupied single particle quantum states in the boundary theory. This allows us to explicitly identify the boundary composite operator which is dual to the bulk scalar, at the free theory level as well as in the instanton vacuum. We conclude with a discussion of possible implications of our results.

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Section: Discussion and Outlookmentioning

confidence: 99%

Instantons and conformal holography

Haro

Petkou

2006

J. High Energy Phys.

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“…Furthermore, using the technic presented in [68], one could obtained non supersymmetric but stable NDDW.…”

Section: Discussionmentioning

confidence: 99%

Null deformed domain wall

Celi

2007

J. High Energy Phys.

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We study null 1/4 BPS deformations of flat Domain Wall solutions (NDDW) in N = 2, d = 5 gauged supergravity with hypermultiplets and vector multiplets coupled. These are uncharged timedependent configurations and contain as special case, 1/2 supersymmetric flat domain walls (DW) and, as well, 1/2 BPS null solutions of the ungauged supergravity. Combining our analysis with the classification method initiated by Gauntlett et al., we prove that all the possible deformations of the DW have origin in the hypermultiplet sector or/and are null. Here, we classify all the null deformations: we show that they naturally organize in "gauging" (v-deformation) and "non gauging" (u-deformation). They have different properties: only in presence of v-deformation the solution is supported by a timedependent scalar potential. Furthermore we show that u-deformation forces the number of multiplets coupled to be different by one. We discuss the general procedure for constructing explicit solutions, stressing the crucial role taken by the integrability conditions of the scalars as spacetime functions. Two analytical solutions are presented. Finally, we comment on the holographic applications of NDDW, in relation with the recently proposed timedependent AdS/CFT.

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“…This takes us back to the Penrose diagram of AdS in figure 1. 4 In the deformed geometry, the turnaround of the FRW scale factor and the crunch are described in the (ψ, τ ) plane by the curve 25) where the maximal scale factor occurs at w = w m and the crunch at w = w c . Equivalently, the equation can be rewritten as…”

Section: Outwardly Curved Spacelike Singularitymentioning

confidence: 99%

“…Up to additive contact terms, the frequency space Green's function in the WKB limit is given by 25) where β ν is defined as in (5.23). For a generic deformed background, its exact form and singularities will depend on the scale factor a.…”

Section: Retarded Correlator and Wkb Limitsmentioning

confidence: 99%

“…Whilst our analysis is general, for concreteness we also focus attention on a specific analytically tractable deformation of AdS 4 obtained within a particular single scalar truncation of N = 8 supergravity [25][26][27]. The scalar in question has mass squared −2 in units of the AdS radius, exactly as the truncation considered in the original works on crunching AdS cosmologies [6,7], therefore permitting two inequivalent quantisations.…”

Section: Introductionmentioning

confidence: 99%

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Probing crunching AdS cosmologies

Kumar

Vaganov

2016

J. High Energ. Phys.

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Holographic gravity duals of deformations of CFTs formulated on de Sitter spacetime contain FRW geometries behind a horizon, with cosmological big crunch singularities. Using a specific analytically tractable solution within a particular single scalar truncation of N = 8 supergravity on AdS 4 , we first probe such crunching cosmologies with spacelike radial geodesics that compute spatially antipodal correlators of large dimension boundary operators. At late times, the geodesics lie on the FRW slice of maximal expansion behind the horizon. The late time two-point functions factorise, and when transformed to the Einstein static universe, they exhibit a temporal non-analyticity determined by the maximal value of the scale factorã max . Radial geodesics connecting antipodal points necessarily have de Sitter energy E ã max , while geodesics with E >ã max terminate at the crunch, the two categories of geodesics being separated by the maximal expansion slice. The spacelike crunch singularity is curved "outward" in the Penrose diagram for the deformed AdS backgrounds, and thus geodesic limits of the antipodal correlators do not directly probe the crunch. Beyond the geodesic limit, we point out that the scalar wave equation, analytically continued into the FRW patch, has a potential which is singular at the crunch along with complex WKB turning points in the vicinity of the FRW crunch. We then argue that the frequency space Green's function has a branch point determined byã max which corresponds to the lowest quasinormal frequency.

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Non-supersymmetric membrane flows from fake supergravity and multi-trace deformations

Cited by 39 publications

References 54 publications

Instantons and conformal holography

Instantons and conformal holography

Null deformed domain wall

Probing crunching AdS cosmologies

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