2011

Some Calculable Contributions to Holographic Entanglement Entropy

Hung, Ling-Yan, Myers, Robert C., Smolkin, Michael

Understand

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results.

The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory.
In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off.
Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy.

Built on

C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation
1973
Earlier work this paper cites.
C. Fefferman and C. R. Graham, “Conformal Invariants,” in Elie Cartan et les Mathématiques d’aujourd?hui (Astérisque, 1985) 95; C. Fefferman and C. R. Graham, “The Ambient Metric,” arXiv:0710.0919 [math.DG]
Original
1985
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, “Positive Energy In Anti-De Sitter Backgrounds And Gauged Extended Supergravity,” Phys. Lett. B 115
1985
Earlier work this paper cites.
See, for example: S. Deser and A. Schwimmer, “Geometric classification of conformal anomalies in arbitrary dimensions,” Phys. Lett. B309
1993
Earlier work this paper cites.
D. N. Kabat and M. J. Strassler, “A Comment on entropy and area,” Phys. Lett. B 329
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
R. C. Myers, “Stress tensors and Casimir energies in the AdS/CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
C. R. Graham and E. Witten, “Conformal anomaly of submanifold observables in AdS/CFT correspondence,” Nucl. Phys. B 546
1999
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “AdS/CFT correspondence and symmetry breaking,” Nucl. Phys. B 556
1999
Earlier work this paper cites.
S. Nojiri and S.D. Odintsov, “On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence,” Int. J. Mod. Phys. A 15
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.

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Then

A. Schwimmer and S. Theisen, “Entanglement Entropy, Trace Anomalies and Holography,” Nucl. Phys. B 801
Original
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Later among the works it cites.
I. R. Klebanov, D. Kutasov and A. Murugan, “Entanglement as a Probe of Confinement,” Nucl. Phys. B 796
Original
2008
Later among the works it cites.
B. Hsu, M. Mulligan, E. Fradkin and E.A. Kim, “Universal entanglement entropy in 2D conformal quantum critical points,” Phys. Rev. B 79
Original
2009
Later among the works it cites.
H. Casini, “Mutual information challenges entropy bounds,” Class. Quant. Grav. 24
Original
2009
Later among the works it cites.
T. Nishioka, S. Ryu and T. Takayanagi, “Holographic Entanglement Entropy: An Overview,” J. Phys. A 42
Original
2009
Later among the works it cites.
M. Headrick, “Entanglement Renyi entropies in holographic theories,” Phys. Rev. D 82
Original
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Later among the works it cites.
R. C. Myers and A. Sinha, “Seeing a c-theorem with holography,” Phys. Rev. D 82
Original
2010
Later among the works it cites.
M. Van Raamsdonk, “Comments on quantum gravity and entanglement,” arXiv:0907.2939 [hep-th]; M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42
Original
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Later among the works it cites.
J. Cardy and P. Calabrese, “Unusual Corrections to Scaling in Entanglement Entropy,” J. Stat. Mech. 1004
Original
2010
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L. Y. Hung, R. C. Myers and M. Smolkin, “On Holographic Entanglement Entropy and Higher Curvature Gravity,” JHEP 1104
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2011
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R. C. Myers and A. Sinha, “Holographic c-theorems in arbitrary dimensions,” JHEP 1101
Original
2011
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