2012

Extremal surfaces as bulk probes in AdS/CFT

Hubeny, Veronika E.

Understand

Motivated by the need for further insight into the emergence of AdS bulk spacetime from CFT degrees of freedom, we explore the behaviour of probes represented by specific geometric quantities in the bulk.

We focus on geodesics and n-dimensional extremal surfaces in a general static asymptotically AdS spacetime with spherical and planar symmetry, respectively.
While our arguments do not rely on the details of the metric, we illustrate some of our findings explicitly in spacetimes of particular interest (specifically AdS, Schwarzschild-AdS and extreme Reissner-Nordstrom-AdS).
In case of geodesics, we find that for a fixed spatial distance between the geodesic endpoints, spacelike geodesics at constant time can reach deepest into the bulk.

Built on

J. Erdmenger, C. Hoyos, and S. Lin, “Time Singularities of Correlators from Dirichlet Conditions in AdS/CFT,” arXiv:1112.1963 [hep-th] . 29 pages, 3 figures
Original
1963
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
J. M. Maldacena, “Wilson loops in large N field theories,” Phys. Rev. Lett
1998
Earlier work this paper cites.
R. Bousso, “A Covariant Entropy Conjecture,” JHEP
1999
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, “A stress tensor for anti-de Sitter gravity,” Commun. Math. Phys
1999
Earlier work this paper cites.
S. B. Giddings, “Flat space scattering and bulk locality in the AdS / CFT correspondence,” Phys.Rev
2000
Earlier work this paper cites.
G. T. Horowitz and V. E. Hubeny, “CFT description of small objects in AdS,” JHEP
2000
Earlier work this paper cites.
V. Balasubramanian and S. F. Ross, “Holographic particle detection,” Phys. Rev
2000
Earlier work this paper cites.
J. Louko, D. Marolf, and S. F. Ross, “On geodesic propagators and black hole holography,” Phys. Rev
2000
Earlier work this paper cites.
S. Gao and R. M. Wald, “Theorems on gravitational time delay and related issues,” Class. Quant. Grav
2000
Earlier work this paper cites.
S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity,” Eur. Phys. J
2001
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin, and K. Skenderis, “Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence,” Commun. Math. Phys
2001
Earlier work this paper cites.
P. Kraus, H. Ooguri, and S. Shenker, “Inside the horizon with AdS/CFT,” Phys. Rev
2003
Earlier work this paper cites.
V. E. Hubeny, “Precursors see inside black holes,” Int. J. Mod. Phys
2003
Earlier work this paper cites.
L. Fidkowski, V. Hubeny, M. Kleban, and S. Shenker, “The black hole singularity in AdS/CFT,” JHEP
2004
Earlier work this paper cites.
S. D. Mathur, “The fuzzball proposal for black holes: An elementary review,” Fortsch. Phys
2005
Earlier work this paper cites.

Similar

I. Booth, “Black hole boundaries,” Can. J. Phys
2005
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, “Local bulk operators in AdS/CFT: A Boundary view of horizons and locality,” Phys.Rev
2006
Cited alongside, same era.
G. Festuccia and H. Liu, “Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I,” JHEP
2006
Cited alongside, same era.
B. Freivogel, V. Hubeny, A. Maloney, R. Myers, M. Rangamani, and S. Shenker, “Inflation in AdS/CFT,” JHEP
2006
Cited alongside, same era.
J. Hammersley, “Extracting the bulk metric from boundary information in asymptotically AdS spacetimes,” JHEP
2006
Cited alongside, same era.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Cited alongside, same era.
S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” JHEP
2006
Cited alongside, same era.
V. E. Hubeny, H. Liu, and M. Rangamani, “Bulk-cone singularities & signatures of horizon formation in AdS/CFT,” JHEP
2007
Cited alongside, same era.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, “A covariant holographic entanglement entropy proposal,” JHEP
Original
2007
Cited alongside, same era.
V. Balasubramanian et al
2008
Cited alongside, same era.
K. Skenderis and M. Taylor, “The fuzzball proposal for black holes,” Phys. Rept
Original
2008
Cited alongside, same era.
I. Amado and C. Hoyos-Badajoz, “AdS black holes as reflecting cavities,” JHEP
Original
2008
Cited alongside, same era.

Then

T. Nishioka, S. Ryu, and T. Takayanagi, “Holographic Entanglement Entropy: An Overview,” J.Phys.A
Original
2009
Later among the works it cites.
P. Figueras, V. E. Hubeny, M. Rangamani, and S. F. Ross, “Dynamical black holes and expanding plasmas,” JHEP
Original
2009
Later among the works it cites.
V. E. Hubeny and M. Rangamani, “A Holographic view on physics out of equilibrium,” Adv.High Energy Phys
Original
2010
Later among the works it cites.
J. Abajo-Arrastia, J. Aparicio, and E. Lopez, “Holographic Evolution of Entanglement Entropy,” JHEP
Original
2010
Later among the works it cites.
D. Kabat, G. Lifschytz, and D. A. Lowe, “Constructing local bulk observables in interacting AdS/CFT,” Phys.Rev
Original
2011
Later among the works it cites.
J. Erdmenger, S. Lin, and T. H. Ngo, “A Moving mirror in AdS space as a toy model for holographic thermalization,” JHEP
Original
2011
Later among the works it cites.
H. Casini, M. Huerta, and R. C. Myers, “Towards a derivation of holographic entanglement entropy,” JHEP
Original
2011
Later among the works it cites.
J. Aparicio and E. Lopez, “Evolution of Two-Point Functions from Holography,” JHEP
Original
2011
Later among the works it cites.
T. Albash and C. V. Johnson, “Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches,” New J.Phys
Original
2011
Later among the works it cites.
V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, et al
Original
2011
Later among the works it cites.
V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, et al
Original
2011
Later among the works it cites.
T. Albash and C. V. Johnson, “Holographic Entanglement Entropy and Renormalization Group Flow,” JHEP
Original
2012
Closest in time.
V. Keranen, E. Keski-Vakkuri, and L. Thorlacius, “Thermalization and entanglement following a non-relativistic holographic quench,” Phys.Rev
Original
2012
Closest in time.
R. C. Myers and A. Singh, “Comments on Holographic Entanglement Entropy and RG Flows,” arXiv:1202.2068 [hep-th]
Original
2068
Closest in time.
H. Liu and M. Mezei, “A refinement of entanglement entropy and the number of degrees of freedom,” arXiv:1202.2070 [hep-th]
Original
2070
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…