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Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
Goutéraux B., Smolic J., Smolic M., Skenderis K., Taylor M.
Journal of High Energy Physics 2012, 1 (2012) 089 - http://hal.archives-ouvertes.fr/hal-00682890
Physique/Physique des Hautes Energies - Théorie
Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
B. Goutéraux1, Jelena Smolic2, Milena Smolic2, Kostas Skenderis2, 3, Marika Taylor2
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
2 :  ITFA - Institute for Theoretical Physics
Universiteit van Amsterdam
Science Park 904, Postbus 94485, 1090 GL Amsterdam
3 :  Korteweg-de Vries Institute for Mathematics
Universiteit van Amsterdam
Science Park 904, 1090 GL Amsterdam
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.

Journal of High Energy Physics
Publisher Institute of Physics (IOP)
ISSN 1126-6708 (eISSN : 1029-8479)
Articles dans des revues avec comité de lecture

AdS-CFT Correspondence – Gauge-gravity correspondence – Black Holes – Holography and condensed matter physics (AdS/CMT).
v2, Important additions: (1) discussion of the entropy current, (2) postulated zeta/eta bound is generically violated. Some comments and references added, typos corrected. 50 pages

'Stichting voor Fundamenteel Onderzoek der Materie' (FOM), which is financially supported by the 'Nederlandse Organisatie voor Wetenschappelijk Onderzoek' (NWO)
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