Built on

L. Bombelli, R. K. Koul, J. Lee, and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D34 (1986) 373–383
1986
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71 (1993) 666–669 , arXiv:hep-th/9303048 [hep-th]
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B424 (1994) 443–467 , arXiv:hep-th/9403108 [hep-th]
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38 (1999) 1113–1133 , arXiv:hep-th/9711200 [hep-th] . [Adv. Theor. Math. Phys.2,231(1998)]
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B428 (1998) 105–114 , arXiv:hep-th/9802109 [hep-th]
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
N. Itzhaki, J. M. Maldacena, J. Sonnenschein, and S. Yankielowicz, “Supergravity and the large N limit of theories with sixteen supercharges,” Phys. Rev. D58 (1998) 046004 , arXiv:hep-th/9802042 [hep-th]
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys
1998
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) 183–386 , arXiv:hep-th/9905111 [hep-th]
2000
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406 (2000), no. 6799 1047 -1054
2000
Earlier work this paper cites.
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 04 (2003) 021 , arXiv:hep-th/0106112 [hep-th]
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406 (2004) P06002 , arXiv:hep-th/0405152 [hep-th]
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 08 (2006) 045 , arXiv:hep-th/0605073 [hep-th]
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96 (2006) 181602 , arXiv:hep-th/0603001 [hep-th]
2006
Earlier work this paper cites.
T. Nishioka and T. Takayanagi, “AdS Bubbles, Entropy and Closed String Tachyons,” JHEP 01 (2007) 090 , arXiv:hep-th/0611035 [hep-th]
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 07 (2007) 062 , arXiv:0705.0016 [hep-th]
Original
2007
Earlier work this paper cites.
S. N. Solodukhin, “Entanglement entropy, conformal invariance and extrinsic geometry,” Phys. Lett. B665 (2008) 305–309 , arXiv:0802.3117 [hep-th]
Original
2008
Earlier work this paper cites.
I. R. Klebanov, D. Kutasov, and A. Murugan, “Entanglement as a probe of confinement,” Nucl. Phys. B796 (2008) 274–293 , arXiv:0709.2140 [hep-th]
Original
2008
Earlier work this paper cites.

Similar

H. Casini and M. Huerta, “Entanglement entropy in free quantum field theory,” J. Phys. A42 (2009) 504007 , arXiv:0905.2562 [hep-th]
Original
2009
Cited alongside, same era.
T. Nishioka, S. Ryu, and T. Takayanagi, “Holographic Entanglement Entropy: An Overview,” J. Phys. A42 (2009) 504008 , arXiv:0905.0932 [hep-th]
Original
2009
Cited alongside, same era.
M. Headrick, “Entanglement Renyi entropies in holographic theories,” Phys. Rev. D82 (2010) 126010 , arXiv:1006.0047 [hep-th]
Original
2010
Cited alongside, same era.
H. Casini, M. Huerta, and R. C. Myers, “Towards a derivation of holographic entanglement entropy,” JHEP 05 (2011) 036 , arXiv:1102.0440 [hep-th]
Original
2011
Cited alongside, same era.
L.-Y. Hung, R. C. Myers, and M. Smolkin, “On Holographic Entanglement Entropy and Higher Curvature Gravity,” JHEP 04 (2011) 025 , arXiv:1101.5813 [hep-th]

Then

M. Headrick, V. E. Hubeny, A. Lawrence, and M. Rangamani, “Causality & holographic entanglement entropy,” JHEP 12 (2014) 162 , arXiv:1408.6300 [hep-th]
Original
2014
Later among the works it cites.
O. Ben-Ami, D. , and J. Sonnenschein, “Holographic Entanglement Entropy of Multiple Strips,” JHEP 11 (2014) 144 , arXiv:1409.6305 [hep-th]
Original
2014
Later among the works it cites.
U. Kol, C. Nunez, D. Schofield, J. Sonnenschein, and M. Warschawski, “Confinement, Phase Transitions and non-Locality in the Entanglement Entropy,” JHEP 06 (2014) 005 , arXiv:1403.2721 [hep-th]
Original
2014
Later among the works it cites.
O. Ben-Ami, D. Carmi, and M. Smolkin, “Renormalization group flow of entanglement entropy on spheres,” JHEP 08 (2015) 048 , arXiv:1504.00913 [hep-th]
Original
2015
Later among the works it cites.

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2016

On Volumes of Subregions in Holography and Complexity

Ben-Ami, Omer, Carmi, Dean

Understand

The volume of the region inside the bulk Ryu-Takayanagi surface is a codimension-one object, and a natural generalization of holographic complexity to the case of subregions in the boundary QFT.

We focus on time-independent geometries, and study the properties of this volume in various circumstances.
We derive a formula for computing the volume for a strip entangling surface and a general asymptotically AdS bulk geometry.
For an AdS black hole geometry, the volume exhibits non-monotonic behaviour as a function of the size of the entangling region (unlike the behaviour of the entanglement entropy in this setup, which is monotonic).

Built on

L. Bombelli, R. K. Koul, J. Lee, and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D34 (1986) 373–383
1986
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71 (1993) 666–669 , arXiv:hep-th/9303048 [hep-th]
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B424 (1994) 443–467 , arXiv:hep-th/9403108 [hep-th]
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38 (1999) 1113–1133 , arXiv:hep-th/9711200 [hep-th] . [Adv. Theor. Math. Phys.2,231(1998)]
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B428 (1998) 105–114 , arXiv:hep-th/9802109 [hep-th]
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
N. Itzhaki, J. M. Maldacena, J. Sonnenschein, and S. Yankielowicz, “Supergravity and the large N limit of theories with sixteen supercharges,” Phys. Rev. D58 (1998) 046004 , arXiv:hep-th/9802042 [hep-th]
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys
1998
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) 183–386 , arXiv:hep-th/9905111 [hep-th]
2000
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406 (2000), no. 6799 1047 -1054
2000
Earlier work this paper cites.
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 04 (2003) 021 , arXiv:hep-th/0106112 [hep-th]
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406 (2004) P06002 , arXiv:hep-th/0405152 [hep-th]
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 08 (2006) 045 , arXiv:hep-th/0605073 [hep-th]
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96 (2006) 181602 , arXiv:hep-th/0603001 [hep-th]
2006
Earlier work this paper cites.
T. Nishioka and T. Takayanagi, “AdS Bubbles, Entropy and Closed String Tachyons,” JHEP 01 (2007) 090 , arXiv:hep-th/0611035 [hep-th]
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 07 (2007) 062 , arXiv:0705.0016 [hep-th]
Original
2007
Earlier work this paper cites.
S. N. Solodukhin, “Entanglement entropy, conformal invariance and extrinsic geometry,” Phys. Lett. B665 (2008) 305–309 , arXiv:0802.3117 [hep-th]
Original
2008
Earlier work this paper cites.
I. R. Klebanov, D. Kutasov, and A. Murugan, “Entanglement as a probe of confinement,” Nucl. Phys. B796 (2008) 274–293 , arXiv:0709.2140 [hep-th]
Original
2008
Earlier work this paper cites.