Fake supergravity and domain wall stability

Freedman, Daniel Z.; Núñez, Carlos; Schnabl, Martin; Skenderis, Kostas

doi:10.1103/physrevd.69.104027

Cited by 245 publications

(472 citation statements)

References 41 publications

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“…This would make possible to consider null deformation of solutions like Janus [74], which is conjectured to be dual to an interface CFT [75]. The stability of this ten-dimensional Type 0 solution was proven in [29] using Fake supergravity, while its embedding in N = 2, d = 5 gauged supergravity has been derived in [76], on the line of [28]. The supersymmetric Type II Janus has been recently obtained in [77] and its holographic interpretation discussed in [78].…”

Section: Discussionmentioning

confidence: 99%

“…The subject has been extensively studied in the literature, mainly as an application/extention of the AdS/CFT correspondence and as phenomenological model with large extra-dimensions (Brane world). The relevance of such configuration justified the derivation of an "effective" supergravity approach [12] known as Fake supergravity [29], valid for any space-time dimensions. The explicit relation of this powerful tool for constructing domain wall solutions, with the full-fledged N = 2 D = 5 gauged supergravity has been first uncovered in [28], and further explored in [46].…”

Section: Bps-domain Walls In Supergravitymentioning

confidence: 99%

“…As shown in [26] the inclusion of hypermultiplets is crucial to have BPS Domain walls interpolating between two AdS vacua and consequently to embed the Domain wall solution of [27] (FGPW) in the N = 2 gauged supergravity, as holographic dual to an RG flow from an N = 4 to an N = 1 SYM. In [28] has been proved, while clarifying the relation between Fake [29] and N = 2 gauged supergravity, that curved Domain Walls can be obtained only with hypermultiplets coupled. Nowadays there is a renew interest for a more systematical understanding of BPS solutions with hypermultiplets.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Discussionmentioning

confidence: 99%

Section: Bps-domain Walls In Supergravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Null deformed domain wall

Celi

2007

J. High Energy Phys.

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“…Crucially, however, equation (1.8) does not define the function W (φ) uniquely and hence there may generically exist other functions W (φ) satisfying (1.8) in addition to W o (φ). 2 This has been termed fake supergravity and in this context any function W (φ) that solves (1.8) is called a fake superpotential [2,3,6,7]. In [7] it was shown that any BPS Poincaré domain wall of the form (1.1), defined by a function W (φ) which is not necessarily the true superpotential of a given gauged supergravity,…”

Section: Jhep02(2007)008mentioning

confidence: 99%

“…We will nevertheless continue to call such solutions 'BPS' since they satisfy the first order equations (1.7). They are still special solutions because they allow for the definition of fake Killing spinors via (1.9) with W o (φ) replaced by the fake superpotential W (φ) [2]. 3 The existence of fake Killing spinors implies, in particular, non-perturbative gravitational stability, at least in the absence of naked singularities [9,4,2].…”

Section: Jhep02(2007)008mentioning

confidence: 99%

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

Papadimitriou¹

2007

J. High Energy Phys.

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We use fake supergravity as a solution generating technique to obtain a continuum of non-supersymmetric asymptotically AdS 4 × S 7 domain wall solutions of elevendimensional supergravity with non-trivial scalars in the SL(8, R)/ SO(8) coset. These solutions are continuously connected to the supersymmetric domain walls describing a uniform sector of the Coulomb branch of the M 2-brane theory. We also provide a general argument that under certain conditions identifies the fake superpotential with the exact large-N quantum effective potential of the dual theory, describing a marginal multi-trace deformation. This identification strongly motivates further study of fake supergravity as a solution generating method and it allows us to interpret our non-supersymmetric solutions as a family of marginal triple-trace deformations of the Coulomb branch that completely break supersymmetry and to calculate the exact large-N anomalous dimensions of the operators involved. The holographic one-and two-point functions for these solutions are also computed.

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Gauge/string duality in confining theories

Edelstein¹,

Portugues²

2006

Fortschritte der Physik

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This is the content of a set of lectures given at the "XIII Jorge André Swieca Summer School on Particles and Fields", Campos do Jordão, Brazil in January 2005. They intend to be a basic introduction to the topic of gauge/gravity duality in confining theories. We start by reviewing some key aspects of the low energy physics of non-Abelian gauge theories. Then, we present the basics of the AdS/CFT correspondence and its extension both to gauge theories in different spacetime dimensions with sixteen supercharges and to more realistic situations with less supersymmetry. We discuss the different options of interest: placing Dbranes at singularities and wrapping D-branes in calibrated cycles of special holonomy manifolds. We finally present an outline of a number of non-perturbative phenomena in non-Abelian gauge theories as seen from supergravity.

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Fake supergravity and domain wall stability

Cited by 245 publications

References 41 publications

Null deformed domain wall

Null deformed domain wall

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

Gauge/string duality in confining theories

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