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Electron stars for holographic metallic criticality
 Phys.Rev. D83 (2011) 046003, arXiv:1008.2828 [hepth
"... We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an ‘electron star’. In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop a ..."
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We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an ‘electron star’. In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop an emergent Lifshitz scaling at low energies. This IR scaling region is a consequence of the two way interaction between emergent quantum critical bosonic modes and the finite density of fermions. By integrating from the IR region to an asymptotically AdS4 spacetime, we compute basic properties of the electron stars, including their electrical conductivity. We emphasize the challenge of connecting UV and IR physics in strongly interacting finite density systems. ar
The Holographic fluid dual to vacuum Einstein gravity, [arXiv:1103.3022 [hepth
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Holographic and Wilsonian Renormalization Groups
"... We develop parallels between the holographic renormalization group in the bulk and the Wilsonian renormalization group in the dual field theory. Our philosophy differs from most previous work on the holographic RG; the most notable feature is the key role of multitrace operators. We work out the fo ..."
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We develop parallels between the holographic renormalization group in the bulk and the Wilsonian renormalization group in the dual field theory. Our philosophy differs from most previous work on the holographic RG; the most notable feature is the key role of multitrace operators. We work out the forms of various single and doubletrace flows. The key question, ‘what cutoff on the field theory corresponds to a radial cutoff in the bulk? ’ is left unanswered, but by sharpening the analogy between the two sides we identify possible directions.
NonRelativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface”, [arXiv:1104.3281 [hepth
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Incompressible NavierStokes Equations from Einstein Gravity with ChernSimons Term,” Phys
 Rev. D
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Obers, “Relativistic Elasticity of Stationary Fluid
 Branes,” Phys.Rev. D87 (2013) 044058, arXiv:1210.5197 [hepth
"... Fluid mechanics can be formulated on dynamical surfaces of arbitrary codimension embedded in a background spacetime. This has been the main object of study of the blackfold approach in which the emphasis has primarily been on stationary fluid configurations. Motivated by this approach we show unde ..."
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Cited by 5 (4 self)
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Fluid mechanics can be formulated on dynamical surfaces of arbitrary codimension embedded in a background spacetime. This has been the main object of study of the blackfold approach in which the emphasis has primarily been on stationary fluid configurations. Motivated by this approach we show under certain conditions that a given stationary fluid configuration living on a dynamical surface of vanishing thickness and satisfying locally the first law of thermodynamics will behave like an elastic brane when the surface is subject to small deformations. These results, which are independent of the number of spacetime dimensions and of the fluid arising from a gravitational dual, reveal the (electro)elastic character of (charged) black branes when considering extrinsic perturbations. ar X iv