Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-10-11
JHEP 1201:089, 2012
Physics
High Energy Physics
High Energy Physics - Theory
v2, Important additions: (1) discussion of the entropy current, (2) postulated zeta/eta bound is generically violated. Some co
Scientific paper
10.1007/JHEP01(2012)089
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.
Goutéraux Blaise
Skenderis Kostas
Smolic Jelena
Smolic Milena
Taylor Marika
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