Positive energy in anti-de Sitter backgrounds and gauged extended supergravity

Breitenlohner, P.; Freedman, Daniel Z.

doi:10.1016/0370-2693(82)90643-8

Cited by 1,147 publications

(1,246 citation statements)

References 9 publications

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“…However this is in accord with studies of scalar field perturbations of anti-de Sitter space [35,36]. The scalar field equation on this background can be written as:…”

Section: Discussionsupporting

confidence: 76%

“…Therefore, one could follow the procedure of [23], and rewrite (35) in terms of quantities in the conformally coupled system. However, the numerical values of the potential will be unchanged by this procedure (although the algebraic form of the potential will become rather more complicated), and so it is simpler to consider the potential in the form (36).…”

Section: Stability Analysismentioning

confidence: 99%

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Winstanley

2003

Foundations of Physics

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“…However this is in accord with studies of scalar field perturbations of anti-de Sitter space [35,36]. The scalar field equation on this background can be written as:…”

Section: Discussionsupporting

confidence: 76%

Section: Stability Analysismentioning

confidence: 99%

Untitled

Winstanley

2003

Foundations of Physics

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“…This mode corresponds to an imaginary AdS mass. However, this mass is above the Breitenlohner-Freedman bound [78,79] for AdS 5 (M 2 BF = −4) and thus guarantees stability. For this it is important that the D7 branes do not carry any net charge from the five-dimensional point of view, since they wrap a topologically trivial cycle with zero flux.…”

Section: The Probe Brane Correspondencementioning

confidence: 97%

Mesons in gauge/gravity duals

et al. 2008

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Abstract. We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the "top-down approach" of considering models constructed within string theory. We explain the stringtheoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large-N gauge theories similar to large-N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite-temperature field theories dual to a gravity background involving a black hole. We also describe the "bottom up" phenomenological approach to mesons within AdS/QCD. Some previously unpublished results are also included.PACS. 11.15.-q Gauge field theories -11.25.Tq Gauge/string duality -12.40.Yx Hadron mass models and calculations -14.40.-n Mesons

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“…As indicated by the work of Breitenlohner and Freedman [6,7], such scalar fields admit a variety of possible boundary conditions. In particular, one may fix either the faster or slower falloff part of the scalar field at infinity.…”

Section: Introductionmentioning

confidence: 99%

Reversing renormalization-group flows with AdS/CFT

Marolf¹,

Ross²

2008

J. High Energy Phys.

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For scalar fields in AdS with masses slightly above the Breitenlohner-Freedman bound, appropriate non-local boundary conditions can define a unitary theory. Such boundary conditions correspond to non-local deformations of the dual CFT, and generate a non-local renormalization-group flow. Nevertheless, a bulk analysis suggests that certain such flows lead to local CFTs in the infrared. Since the flows are non-local, they can either increase or decrease the central charge of the CFT. In fact, given any local renormalization-group flow within a certain general class which leads from a UV theory (CFT 1 ) to an IR theory (CFT 2 ), we show that one can find such a non-local flow in which the endpoints are interchanged: the non-local theory flows from CFT 2 in the IR to CFT 1 in the UV. We work at large N , but the flows we consider involve quantum field effects in the bulk, corresponding to 1/N corrections in the dual theory.

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Positive energy in anti-de Sitter backgrounds and gauged extended supergravity

Cited by 1,147 publications

References 9 publications

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Mesons in gauge/gravity duals

Reversing renormalization-group flows with AdS/CFT

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