Holographic studies of quasi-topological gravity

By R. Myers, M. Paulos, Aninda Sinha. 2010

212 citations recorded by the source corpus.

Quasi-topological gravity is a new gravitational theory including curvaturecubed interactions and for which exact black hole solutions were constructed. In a holographic framework, classical quasi-topological gravity can be thought to be dual to the large Nc limit of some non-supersymmetric but conformal gauge theory. We establish various elements of the AdS/CFT dictionary for this duality. This allows us to infer physical constraints on the couplings in the gravitational theory. Further we use holography to investigate hydrodynamic aspects of the dual gauge theory. In particular, we find that the minimum value of the shear-viscosity-to-entropy-density ratio for this model is η/s ≃ 0.4140/(4π).

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

View Paper: https://www.semanticscholar.org/paper/850fb0843cdf43c8130f94d7fcffe93da7711d89

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In Astronomy and Astrophysics

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

In Nuclear and High Energy Physics

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

In Statistical and Nonlinear Physics

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

Citations in the corpus

• On the new massive gravity and AdS/CFT (2010, methodology): “The Weyl anomaly for the six-derivative theory in five dimensions [15] was calculated in [18].”
• Towards a derivation of holographic entanglement entropy (2011, methodology): “mplicitly, we will also assume that the bulk couplings are further constrained so that the boundary CFT has physically reasonable properties (e.g., it should be causal and unitary) | for example, see [14, 34, 32]. An essential step in the following will be calculating the horizon entropy of the bulk”
• Black holes in quasi-topological gravity (2010, background): “The fact that gravitons propagating in an AdS background simply obey the same equations of motion as in Einstein gravity plays an important role in understanding the holographic properties of quasi-topological gravity [10].”
• Comments on holographic complexity (2016, unknown): “, see [17, 32, 33, 34].”
• Holographic c-theorems in arbitrary dimensions (2010, methodology): “These formulae were originally derived in [16] with α = 1 but the results remain unchanged when one allows α to take on different values in eq.”
• The Shear Viscosity to Entropy Ratio: A Status Report (2011, background): “conformal gauge theory plasma, with effective central charges [70]”
• Nonlinear gravity from entanglement in conformal field theories (2017, unknown): “19 Thus, we can work with a simple two-parameter theory such as the GaussBonnet theory L = 1 16πGN [ (R− 2Λ)− αGB 2Λ d(d−1) (d−2)(d−3)(RabcdR abcd − 4RabR +R2) ] , which in d ≥ 4 which leads to [39] C̃T a∗ = 1 + 4 d− 3 αGB +O(α 2 GB ) .”
• On holographic entanglement entropy and higher curvature gravity (2011, methodology): “17) can be calculated using the techniques of [31] yielding [33]”
• Holographic GB gravity in arbitrary dimensions (2009, methodology): “For GB gravity, these calculations were performed for d = 4 in [25] and for d = 6 in [17].”
• Holographic Quantum Critical Transport without Self-Duality (2010, background): “0 u1 for >1=8. The potential W 0 exhibits a similar behaviour for < 1=4. The analysis and physical interpretation of the modes in this case are more elaborate along the lines of that given in [25]. However, we do not consider these issues further here since our previous constraints (5.14) alre”
• Comments on holographic entanglement entropy and RG flows (2012, background): “One would find that graviton fluctuations about the AdS solution corresponding to the second root are ghosts [35, 36] and hence the boundary CFT would not be unitary.”
• 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”
• Holographic calculations of Rényi entropy (2011, methodology): “(10)We refer the interested reader to [38, 20] for further details.”