Black holes and non-relativistic quantum systems
Abstract
We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale invariant non-relativistic d+1 dimensional quantum system with 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 |μ| d/(d+2), exactly as in a non-interacting Fermi gas, while the ratio of shear viscosity to entropy density is /4π.
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