Causality of holographic hydrodynamics

By Alex Buchel, R. Myers. 2009

207 citations recorded by the source corpus.

We study causality violation in holographic hydrodynamics in the gauge theory/string theory correspondence, focussing on Gauss-Bonnet gravity. The value of the Gauss-Bonnet coupling is related to the difference between the central charges of the dual conformal gauge theory. We show that, when this difference is sufficiently large, causality is violated both in the second-order truncated theory of hydrodynamics, as well as in the exact theory. We find that the latter provides more stringent constraints, which match precisely those appearing in the CFT analysis of Hofman and Maldacena.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/57619038ad2e4f427f3023bf3bf5872c4377cc9f

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. A. Singh
4. S. Cremonini
5. M. Smolkin
6. J. Boer
7. M. Kulaxizi
8. A. Parnachev

In Nuclear and High Energy Physics

1. R. Myers
2. Aninda Sinha
3. A. Singh
4. M. Smolkin
5. M. Paulos
6. S. Cremonini
7. J. Boer
8. M. Kulaxizi

In Statistical and Nonlinear Physics

1. R. Myers
2. Aninda Sinha
3. M. Smolkin
4. A. Singh
5. J. Boer
6. M. Kulaxizi
7. A. Parnachev
8. S. Cremonini

Citations in the corpus

• Relativistic viscous fluid dynamics and non-equilibrium entropy (2009, background): “Furthermore, it was shown recently that causality in second order fluid dynamics is guaranteed by the causality of the underlying quantum field theory for the conformal field theory example of N = 2 SYM at strong coupling [27].”
• AdS7/CFT6, Gauss-Bonnet gravity, and viscosity bound (2009, background): “15) presumably can be obtained from considering excitations with different polarization, just as it has been in the four-dimensional setup [4, 5].”
• Comments on holographic entanglement entropy and RG flows (2012, background): “In part, this motivated the recent holographic studies of GaussBonnet (GB) gravity [54, 55] — for example, see [56–64].”
• Analytical study on holographic superconductors in external magnetic field (2010, background): “Besides there also exists a lower bound on the Gauss-Bonnet coupling by considering the causality [47, 53, 54].”
• Holographic Lovelock gravities and black holes (2009, methodology): “Exactly the same bounds on λ1 have been obtained by requiring causality of the finite temperature CFT [9, 10, 12, 13].”
• Black holes in quasi-topological gravity (2010, background): “, requiring that the boundary theory is causal, imposes much more stringent constraints on the GB coupling [5, 6] − 7 36 ≤ λ ≤ 9 100 .”
• A proof of the conformal collider bounds (2016, background): “In [9, 10] it was argued that such constraints follow from causality in holographic large N theories by using and extending preliminary results in [11, 12].”
• Holographic GB gravity in arbitrary dimensions (2009, background): “Again, for D = 5 and 7, we recover λ GB = −7/36 and –5/16, as was originally obtained in [31, 30] and [17], respectively.”
• The Shear Viscosity to Entropy Ratio: A Status Report (2011, background): “the plasma also contains microcausality violating excitations [71].”
• Holographic Quantum Critical Transport without Self-Duality (2010, methodology): “cative of that of a complete string theory model. Recently the utility of this approach has been shown in holographic investigations with various higher curvature gravity theories { see, for example, [25, 29, 30, 31, 32]. Further, while the couplings of the higher derivative interactions are nite in”
• Holographic entanglement entropy in Lovelock gravities (2011, background): “(Work which uses higher derivative gravitational theories to study unitarity constraints in CFTs includes [12-25].”
• Causality in AdS/CFT and Lovelock theory (2009, methodology): “This was originally shown in 5d where λ ≤ 9 100 [5, 6] and λ ≥ −7/36 [7, 8], the dual theories being 4d N = 1 SCFTs.”
• Smarr formula and an extended first law for Lovelock gravity (2010, background): “There has also been considerable recent interest in Lovelock gravities in the context of the AdS/CFT correspondence [17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], while stability of static Lovelock black holes under perturbations has been addressed in [28, 29, 30, 31, 32, 33].”