AdS7/CFT6, Gauss-Bonnet gravity, and viscosity bound

By J. Boer, M. Kulaxizi, A. Parnachev. 2009

171 citations recorded by the source corpus.

We study the relation between the causality and positivity of energy bounds for Gauss-Bonnet gravity in an AdS7 background. Requiring the group velocity of metastable states to be bounded by the speed of light places a bound on the value of Gauss-Bonnet coupling. To find the positivity of energy constraints we compute the parameters which determine the angular distribution of the energy flux in terms of three independent coefficients specifying the three-point function of the stress-energy tensor. We then relate the latter to the Weyl anomaly of the six-dimensional CFT and compute the anomaly holographically. The resulting upper bound on the Gauss-Bonnet coupling coincides with that from causality and results in a new bound on viscosity/entropy ratio.

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

View Paper: https://www.semanticscholar.org/paper/caa5a937448c8bb1d17afd3a1a380414b99b71d7

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. V. Hubeny
3. M. Rangamani
4. Ling-Yan Hung
5. M. Smolkin
6. S. Cremonini
7. Aninda Sinha
8. J. Boer

In Nuclear and High Energy Physics

1. R. Myers
2. V. Hubeny
3. M. Rangamani
4. Ling-Yan Hung
5. M. Smolkin
6. T. Takayanagi
7. Aninda Sinha
8. J. Boer

In Statistical and Nonlinear Physics

1. R. Myers
2. Ling-Yan Hung
3. M. Smolkin
4. V. Hubeny
5. Aninda Sinha
6. J. Boer
7. M. Rangamani
8. S. Cremonini

Citations in the corpus

• A Holographic View on Physics out of Equilibrium (2010, background): “Recently, this bound has been shown to be violated in higher-derivative theories of gravity: there are example toy-models such as Gauss-Bonnet gravity [74, 75] and other higherderivative theories [76, 77, 78, 79, 80, 81] and also some string theory inspired constructions”
• On the new massive gravity and AdS/CFT (2010, background): “In [9, 10, 11], in the context of holography, various properties of Gauss-Bonnet gravity in arbitrary spacetime dimensions D ≥ 5 were studied.”
• The Shear Viscosity to Entropy Ratio: A Status Report (2011, methodology): “Gauss-Bonnet gravity in AdS7 was analyzed in [75], where it was found that ηs ≥ 7 16 1 4π .”
• Holographic entanglement entropy in Lovelock gravities (2011, background): “(Work which uses higher derivative gravitational theories to study unitarity constraints in CFTs includes [12-25].”
• Emergent spacetime and holographic CFTs (2011, unknown): “For such an analysis it might be important to also analyze the consistency of the theory at finite temperature, as was partially done in [107], [108], [109], [110].”
• On holographic entanglement entropy and higher curvature gravity (2011, background): “However, with the introduction of higher curvature terms in the bulk gravity, the central charges become functions of the new (dimensionless) couplings, as well as the ratio of the AdS scale to the Planck scale, and so the charges can be (at least partially) distinguished in such an extended hologra”