Holographic entanglement entropy in Lovelock gravities

By J. Boer, M. Kulaxizi, A. Parnachev. 2011

234 citations recorded by the source corpus.

We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement entropy are governed by the conformal anomalies of the CFT; we verify that the holographic calculations are consistent with this property. We also compute the holographic entanglement entropy of a slab in the Gauss-Bonnet examples dual to relativistic and non-relativistic CFTs and discuss its properties. Finally, we discuss features of the entanglement entropy in the backgrounds dual to renormalization group flows between fixed points and comment on the implications for a possible c-theorem in four spacetime dimensions.

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

View Paper: https://www.semanticscholar.org/paper/9373154d4719f8b714404867235f8011d0f632c8

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. T. Takayanagi
3. T. Faulkner
4. V. Hubeny
5. D. Harlow
6. J. Maldacena
7. M. Rangamani
8. D. Stanford

In Nuclear and High Energy Physics

1. R. Myers
2. T. Takayanagi
3. T. Faulkner
4. D. Harlow
5. V. Hubeny
6. J. Maldacena
7. D. Stanford
8. M. Rangamani

In Statistical and Nonlinear Physics

1. R. Myers
2. T. Takayanagi
3. D. Harlow
4. T. Faulkner
5. J. Maldacena
6. D. Stanford
7. T. Nishioka
8. Aron C. Wall

Citations in the corpus

• Holographic c-theorems in arbitrary dimensions (2010, background): “There has also been some other recent progress in understanding holographic entanglement entropy with higher curvature theories in the bulk [77].”
• Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime (2014, background): “When the gravitational action is no longer Einstein-Hilbert, it is known that one must extremize, not the area, but a corrected entropy functional [46, 31, 35, 36, 37, 38, 39, 47].”
• Entanglement Entropy of Black Holes (2011, background): “A similar property of the entanglement entropy was observed for a non-relativistic theory described by the Schrödinger operator [205] (see also [59] for a holographic derivation).”
• Mutual information and the F-theorem (2015, background): “was also presented in [68]. We might add that eq. (A.1) assumes that the bulk theory corresponds to Einstein gravity and this expression has been extended to certain higher curvature theories as well [67,69] | see also [70]. Let us also note here that mutual information was discussed in a holographi”
• Towards a derivation of holographic entanglement entropy (2011, background): “At the same time, we can add that for generic entangling surfaces, the bulk surface determining the holographic entanglement entropy will not play the role of the event horizon for some black hole [11, 41].”
• Some calculable contributions to holographic entanglement entropy (2011, background): “Recent progress was made in this direction for Lovelock theories of gravity [6, 29].”
• Holographic geometry of entanglement renormalization in quantum field theories (2012, background): “If we abandon the strong coupling limit, we expect higher derivative corrections to the Einstein gravity and the holographic entanglement entropy also includes higher derivative terms [43, 44].”
• Strong subadditivity and the covariant holographic entanglement entropy formula (2012, background): “the classical bulk gravitational action, such as those arising in string theory, the area functional gets corrected [5, 18] (although the form of the latter corrections is known only in certain cases [19, 20]); if this is true, then SSA is automatically safe, and we learn nothing about the form of t”
• Comments on holographic entanglement entropy and RG flows (2012, methodology): “However, we have verified numerically that the effective central charge in [23] agrees with eq.”
• Bit Threads and Holographic Entanglement (2016, methodology): “In the simplest gravity theories where the Einstein-Hilbert action is extended to higher-order terms in the curvature tensor, namely Gauss-Bonnet gravity, it is believed [27,28] that the area on the gravity side of the RT formula area should be replaced with ∫ d A(1 + αR) (and minimization should be”
• Holographic calculations of Rényi entropy (2011, background): “We might also mention that [8, 30] provided a generalization of the standard prescription for holographic entanglement entropy (1.”
• On holographic entanglement entropy and higher curvature gravity (2011, background): “While proceeding with this project, we learned that the same topic was also being studied by J. de Boer, M. Kulaxizi and A. Parnachev | see talk by M. Kulaxizi [20]. Their results appear in [ 21 ].”
• Quantum corrections to holographic entanglement entropy (2013, result): “However see [18–21] for R corrections.”