Black holes and nonrelativistic quantum systems.
We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale-invariant nonrelativistic (d+1)-dimensional quantum system with a dynamical exponent z=2. The gravitational model involves a massive Abelian vector field and a scalar field, in addition to the metric. The energy per particle in the dual theory is |micro|d/(d+2) at any temperature (micro is the chemical potential). The ratio of shear viscosity to entropy density is variant Planck's over 2pi/4pi in any dimension d > or =2.
Kovtun
Pavel
P
Department of Physics and Astronomy, University of Victoria, Victoria BC, V8P 5C2, Canada.
Nickel
Dominik
D