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X. O. Camanho and J. D. Edelstein, “Causality in AdS/CFT and Lovelock theory,” JHEP 1006
Original
1944
Earlier work this paper cites.
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1971
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
A. B. Zamolodchikov, JETP Lett. 43, 730 (1986)
1986
Earlier work this paper cites.
D. Sudarsky and R. M. Wald, Extrema of mass, stationarity, and staticity, and solutions to the Einstein Yang-Mills equations
1992
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black Hole Entropy And Higher Curvature Interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1993
Earlier work this paper cites.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D 50
1994
Earlier work this paper cites.
J. M. Maldacena, Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP 9807
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, “Renormalization group flows from holography supersymmetry and a c theorem,” Adv. Theor. Math. Phys. 3
1998
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. N. Solodukhin, “Entanglement entropy and the Ricci flow,” Phys. Lett. B 646
2007
Earlier work this paper cites.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “Viscosity Bound Violation in Higher Derivative Gravity,” Phys. Rev. D 77
Original
2008
Earlier work this paper cites.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “The Viscosity Bound and Causality Violation,” Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
S. N. Solodukhin, “Entanglement entropy, conformal invariance and extrinsic geometry,” Phys. Lett. B 665
2008
Earlier work this paper cites.
D. Kastor, “Komar Integrals in Higher (and Lower) Derivative Gravity,” Class. Quant. Grav. 25
Original
2008
Earlier work this paper cites.
A. Buchel and R. C. Myers, “Causality of Holographic Hydrodynamics,” JHEP 0908
Original
2009
Earlier work this paper cites.

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2016

Extended First Law for Entanglement Entropy in Lovelock Gravity

Kastor, David, Ray, Sourya, Traschen, Jennie

Understand

The first law for the holographic entanglement entropy of spheres in a boundary CFT with a bulk Lovelock dual is extended to include variations of the bulk Lovelock coupling constants.

Such variations in the bulk correspond to perturbations within a family of boundary CFTs.
The new contribution to the first law is found to be the product of the variation $\delta a$ of the A-type trace anomaly coefficient for even dimensional CFTs, or more generally its extension $\delta a^*$ to include odd dimensional boundaries, times the ratio $S/a^*$.
Since $a^*$ is a measure of the number of degrees of freedom $N$ per unit volume of the boundary CFT, this new term has the form $\mu\delta N$, where the chemical potential $\mu$ is given by the entanglement entropy per degree of freedom.

Built on

X. O. Camanho and J. D. Edelstein, “Causality in AdS/CFT and Lovelock theory,” JHEP 1006
Original
1944
Earlier work this paper cites.
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1971
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
A. B. Zamolodchikov, JETP Lett. 43, 730 (1986)
1986
Earlier work this paper cites.
D. Sudarsky and R. M. Wald, Extrema of mass, stationarity, and staticity, and solutions to the Einstein Yang-Mills equations
1992
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black Hole Entropy And Higher Curvature Interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1993
Earlier work this paper cites.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D 50
1994
Earlier work this paper cites.
J. M. Maldacena, Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP 9807
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, “Renormalization group flows from holography supersymmetry and a c theorem,” Adv. Theor. Math. Phys. 3
1998
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. N. Solodukhin, “Entanglement entropy and the Ricci flow,” Phys. Lett. B 646
2007
Earlier work this paper cites.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “Viscosity Bound Violation in Higher Derivative Gravity,” Phys. Rev. D 77
Original
2008
Earlier work this paper cites.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “The Viscosity Bound and Causality Violation,” Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
S. N. Solodukhin, “Entanglement entropy, conformal invariance and extrinsic geometry,” Phys. Lett. B 665
2008
Earlier work this paper cites.
D. Kastor, “Komar Integrals in Higher (and Lower) Derivative Gravity,” Class. Quant. Grav. 25
Original
2008
Earlier work this paper cites.
A. Buchel and R. C. Myers, “Causality of Holographic Hydrodynamics,” JHEP 0908
Original
2009
Earlier work this paper cites.