On domain-wall/QFT dualities in various dimensions

Behrndt, Klaus; Bergshoeff, Eric; Halbersma, Rein; Schaar, Jan Pieter van der

doi:10.1088/0264-9381/16/11/306

Cited by 65 publications

(94 citation statements)

References 55 publications

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“…In addition, we will impose a simple causality requirement in section III which naturally occurs whenever the conformal boundary has Lorentz signature. Thus, our results imply those of [30,34] and, in addition, apply equally well to other contexts such as the domain-wall spacetimes renormalized in [35,36,37] and to the cascading geometries renormalized in [41] (and first studied in [38,39,40]). Furthermore, if an appropriate set of counter-terms can be found, they would also apply to the more general gauge/gravity dualities described in [5].…”

Section: Introductionsupporting

confidence: 80%

Counterterm charges generate bulk symmetries

2005

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We further explore the counter-term subtraction definition of charges (e.g., energy) for classical gravitating theories in spacetimes of relevance to gauge/gravity dualities; i.e., in asymptotically anti-de Sitter spaces and their kin. In particular, we show in general that charges defined via the counter-term subtraction method generate the desired asymptotic symmetries. As a result, they can differ from any other such charges, such as those defined by bulk spacetime-covariant techniques, only by a function of auxiliary non-dynamical structures such as a choice of conformal frame at infinity (i.e., a function of the boundary fields alone). Our argument is based on the Peierls bracket, and in the AdS context allows us to demonstrate the above result even for asymptotic symmetries which generate only conformal symmetries of the boundary (in the chosen conformal frame). We also generalize the counter-term subtraction construction of charges to the case in which additional non-vanishing boundary fields are present.

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Section: Introductionsupporting

confidence: 80%

Counterterm charges generate bulk symmetries

2005

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“…7 However, these negative charges might be pathological, since the tension will also be negative [3,41]. Finally, one is left with all constant l i vanishing, in which case the distribution has collapsed to a point and generically reads…”

Section: Brane Distributions For So(n) Harmonicsmentioning

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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“…Then, in practice it is enough to consider 5d gauged SG classical solutions (say, AdS-like backgrounds) in AdS/CFT set-up instead of the investigation of much more involved, non-linear equations of IIB SG. Moreover, such solutions describe RG flows in boundary gauge theory (for a very recent discussion of such flows see [3,4,32,5,6,7,8] and refs. therein).…”

Section: Introductionmentioning

confidence: 99%

Finite action in 5D gauged supergravity and the dilatonic conformal anomaly for dual quantum field theory

2000

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Gauged supergravity (SG) with single scalar (dilaton) and arbitrary scalar potential is considered. Such dilatonic gravity describes special RG flows in extended SG where scalars lie in one-dimensional submanifold of total space. The surface counterterm and finite action for such gauged SG in three-, four-and five-dimensional asymptotically AdS space are derived. Using finite action and consistent gravitational stress tensor (local surface counterterm prescription) the regularized expressions for free energy, entropy and mass of d4 dilatonic AdS black hole are found. The same calculation is done within standard reference background subtraction.The dilaton-dependent conformal anomaly from d3 and d5 gauged SGs is calculated using AdS/CFT correspondence. Such anomaly should correspond to two-and four-dimensional dual quantum field theory which is classically (not exactly) conformally invariant, respectively. The candidate c-functions from d3 and d5 SGs are suggested. These c-functions which have fixed points in asymptoticaly AdS region are expressed in terms of dilatonic potential and they are positively defined and monotonic for number of potentials.

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On domain-wall/QFT dualities in various dimensions

Cited by 65 publications

References 55 publications

Counterterm charges generate bulk symmetries

Counterterm charges generate bulk symmetries

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

Finite action in 5D gauged supergravity and the dilatonic conformal anomaly for dual quantum field theory

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