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 $|\mu |d/(d+2)$, exactly as in a non-interacting Fermi gas, while the ratio of shear viscosity to entropy density is $\hslash /4\pi$.

8 pages; v2: discussion modified

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Cited by in corpus (14)

• Non-relativistic holography
• Galilean Conformal Algebras and AdS/CFT
• Black holes in asymptotically Lifshitz spacetime
• Holographic stress tensor for non-relativistic theories
• Transport Properties of Holographic Defects
• Correlation Functions in Non-Relativistic Holography
• Quantum criticality and black holes
• On AdS/CFT of Galilean Conformal Field Theories
• Correlation functions in the non-relativistic AdS/CFT correspondence
• Non-relativistic Branes
• Non-relativistic CFT and Semi-classical Strings
• Lifshitz Topological Black Holes
• Non-relativistic D3-brane in the presence of higher derivative corrections
• Ideal gas matching for thermal Galilean holography