Holographic Hydrodynamics with a Chemical Potential

By R. Myers, M. Paulos, Aninda Sinha. 2009

199 citations recorded by the source corpus.

We consider five-dimensional gravity coupled to a negative cosmological constant and a single U(1) gauge field, including a general set of four-derivative interactions. In this framework, we construct charged planar AdS black hole solutions perturbatively and consider the thermal and hydrodynamic properties of the plasma in the dual CFT. In particular, we calculate the ratio of shear viscosity to entropy density and argue that the violation of the KSS bound is enhanced in the presence of a chemical potential. We also compute the electrical conductivity and comment on various conjectured bounds related to this coefficient.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d6941ce4ab64befc914604e5e1eb697a3124c05f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. R. Myers
2. Aninda Sinha
3. Ling-Yan Hung
4. A. Singh
5. M. Smolkin
6. T. Takayanagi
7. H. Casini
8. S. Cremonini

In Atomic and Molecular Physics, and Optics

1. R. Myers
2. A. Singh
3. S. Sachdev
4. Aninda Sinha
5. H. Casini
6. T. Takayanagi
7. Andrew Strominger
8. V. Lysov

In Nuclear and High Energy Physics

1. R. Myers
2. Aninda Sinha
3. T. Takayanagi
4. A. Singh
5. Ling-Yan Hung
6. M. Smolkin
7. H. Casini
8. S. Sachdev

Citations in the corpus

• Holographic Quantum Critical Transport without Self-Duality (2010, methodology): “ne is also free to use eld redenitions to simplify the general bulk action (2.5). In the present case, eld redenitions can be used to set to zero all of the couplings except three, e.g., 3, 4 and 6 [27]. Examining the remaining three terms, the 3 and 4 terms involve four powers of the eld strength a”
• Black holes in quasi-topological gravity (2010, background): “In certain string theory constructions, the appearance of curvature-squared interactions produces violations of the KSS bound [4] but these models only produce reliable results in a regime where the corresponding gravitational coupling is parametrically small.”
• Relative entropy and holography (2013, background): “The normalization of the gauge field term is typically determined by the microscopic details of the holographic construction — see discussion in [40].”
• Holographic studies of quasi-topological gravity (2010, methodology): “Further investigations also provided increasingly efficient techniques for these calculations [41, 42] In the following, we will use the ‘pole method’ of [42].”
• Holographic GB gravity in arbitrary dimensions (2009, background): “Still the precise string theory constructions where these higher curvature terms are under control only allow for perturbative violations of the bound [11, 12, 13].”
• Wilsonian approach to fluid/gravity duality (2010, background): “15 The results of [19,20,24,27,28] suggest the universal value will be modified by higher-derivative gravity corrections.”
• Thermalization with a chemical potential from AdS spaces (2012, background): “Then, for instance, setting d = 4 it reduces to the Hawking temperature of the Reissner-Nordström AdS5 black hole [40],”
• The Shear Viscosity to Entropy Ratio: A Status Report (2011, background): “The authors of [59] considered the most general set of four-derivative corrections to gravity in five dimensions, coupled to a U(1) gauge field with charge ∼ q and a negative cosmological constant:”