Kaluza-Klein Holography

By Kostas Skenderis, Marika Taylor. 2006

137 citations recorded by the source corpus.

We construct a holographic map between asymptotically AdS5 × S5 solutions of 10d supergravity and vacuum expectation values of gauge invariant operators of the dual QFT. The ingredients that enter in the construction are (i) gauge invariant variables so that the KK reduction is independent of any choice of gauge fixing; (ii) the non-linear KK reduction map from 10 to 5 dimensions (constructed perturbatively in the number of fields); (iii) application of holographic renormalization. A non-trivial role in the last step is played by extremal couplings. This map allows one to reliably compute vevs of operators dual to any KK fields. As an application we consider a Coulomb branch solution and compute the first two non-trivial vevs, involving operators of dimension 2 and 4, and reproduce the field theory result, in agreement with non-renormalization theorems. This constitutes the first quantitative test of the gravity/gauge theory duality away from the conformal point involving a vev of an operator dual to a KK field (which is not one of the gauged supergravity fields).

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eb2e1770d8a195e079ab10198a61b3fb162dffe6

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Citations in the corpus

The fuzzball proposal for black holes (2008, methodology): “Details of this procedure can be found in [42].”
Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, background): “Application of holographic renormalisation techniques to ten dimensional geometries is not very well developed (however, see [59, 60]).”
Holography for Schrödinger backgrounds (2010, background): “The mass of the bulk vector field is such that it corresponds (4)Strictly speaking, the vanishing of the bulk three point coupling does not always guarantee vanishing of the corresponding three point function, see [45, 46].”
Fuzzballs with internal excitations (2007, methodology): “As discussed in [10], the equations of motion for the gauge invariant fields are precisely the same as those in de Donder gauge, provided one replaces all fields with the corresponding gauge invariant field.”
Holographic heat engines (2014, background): “[38, 39] for later clarification of the connection between gravity and field theory for this sector, and ref.”
Holographic anatomy of fuzzballs (2006, methodology): “3 dimensions. Following [ 20 ], this is done to second order in the fluctuations using (and”
Numerical methods for finding stationary gravitational solutions (2015, methodology): “[584] K.”
Mesons in gauge/gravity duals (2007, methodology): “They correspond to operator vevs in the dual field theory, which have been determined using the symmetries of the set-up in [48, 49].”
Thermodynamics of the brane (2007, methodology): “Now the construction of the remaining boundary counter-terms requires a Kaluza-Klein reduction from ten dimensions [62].”
Real-time gauge/gravity duality: prescription, renormalization and examples (2008, result): “For example, the naive computation of 2-point functions of scalar operators of scaling dimension ∆ 6= d, where the infinite terms are simply dropped, leads to results that are inconsistent with Ward identities, see [22, 23, 24, 6, 25, 26] for examples and discussions of this point.”
Holographic Duality with a View Toward Many-Body Physics (2009, background): “For cautionary examples and their correct treatment, please see [48].”