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Journal of High Energy Physics 2012, 1 (2012) 089
Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
B. Goutéraux1, Jelena Smolic2, Milena Smolic2, Kostas Skenderis2, 3, Marika Taylor2
(01/2012)

We show that a class of Einstein-Maxwell-Dilaton (EMD) theories are related to higher dimensional AdS-Maxwell gravity via a dimensional reduction over compact Einstein spaces combined with continuation in the dimension of the compact space to non-integral values ('generalized dimensional reduction'). This relates (fairly complicated) black hole solutions of EMD theories to simple black hole/brane solutions of AdS-Maxwell gravity and explains their properties. The generalized dimensional reduction is used to infer the holographic dictionary and the hydrodynamic behavior for this class of theories from those of AdS. As a specific example, we analyze the case of a black brane carrying a wave whose universal sector is described by gravity coupled to a Maxwell field and two neutral scalars. At thermal equilibrium and finite chemical potential the two operators dual to the bulk scalar fields acquire expectation values characterizing the breaking of conformal and generalized conformal invariance. We compute holographically the first order transport coefficients (conductivity, shear and bulk viscosity) for this system.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
2 :  ITFA - Institute for Theoretical Physics
3 :  Korteweg-de Vries Institute for Mathematics
APC - THEORIE
Physique/Physique des Hautes Energies - Théorie
AdS-CFT Correspondence – Gauge-gravity correspondence – Black Holes – Holography and condensed matter physics (AdS/CMT).
Lien vers le texte intégral : 
http://fr.arXiv.org/abs/1110.2320