Built on

S. Sachdev and J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406
2000
Earlier work this paper cites.
G. Guralnik, A. Iorio, R. Jackiw and S. Y. Pi, “Dimensionally reduced gravitational Chern-Simons term and its kink,” Annals Phys. 308
2003
Earlier work this paper cites.
D. Grumiller and W. Kummer, “The classical solutions of the dimensionally reduced gravitational Chern-Simons theory,” Annals Phys. 308
2003
Earlier work this paper cites.
A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP 0509
2005
Earlier work this paper cites.
M. Alishahiha and F. Ardalan, “Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence,” JHEP 0808
Original
2008
Earlier work this paper cites.
M. Alishahiha, R. Fareghbal and A. E. Mosaffa, “2D Gravity on AdS(2) with Chern-Simons Corrections,” JHEP 0901
Original
2009
Earlier work this paper cites.
A. Kitaev. A simple model of quantum holography. - 2015. Talks at KITP, April 7,and May 27. http://online.kitp.ucsb.edu/online/entangled15/kitaev
2015
Earlier work this paper cites.

Similar

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Then

J. Engelsy, T. G. Mertens and H. Verlinde, “An investigation of AdS 2
Original
2016
Later among the works it cites.
D. Carmi, S. Chapman, H. Marrochio, R. C. Myers and S. Sugishita, “On the Time Dependence of Holographic Complexity,” JHEP 1711
Original
2017
Later among the works it cites.
A. Reynolds and S. F. Ross, “Divergences in Holographic Complexity,” Class. Quant. Grav. 34
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2017
Later among the works it cites.
M. Cvetic and I. Papadimitriou, “AdS 2
Original
2017
Later among the works it cites.
L. McGough, M. Mezei and H. Verlinde, “Moving the CFT into the bulk with T T ¯ T\overline{T} ,” JHEP 1804
Original

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2018

Complexity and Behind the Horizon Cut Off

Akhavan, Amin, Alishahiha, Mohsen, Naseh, Ali et al.

Understand

Motivated by $T{\overline T}$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal.

In order to have a late time behavior consistent with Lloyd's bound one is forced to have a cut off behind the horizon whose value is fixed by the boundary cut off.
Using this result we compute holographic complexity for two dimensional AdS solutions where we get expected late times linear growth.
It is in contrast with the naively computation which is done without assuming the cut off where the complexity approaches a constant at the late time.

Built on

S. Sachdev and J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature 406
2000
Earlier work this paper cites.
G. Guralnik, A. Iorio, R. Jackiw and S. Y. Pi, “Dimensionally reduced gravitational Chern-Simons term and its kink,” Annals Phys. 308
2003
Earlier work this paper cites.
D. Grumiller and W. Kummer, “The classical solutions of the dimensionally reduced gravitational Chern-Simons theory,” Annals Phys. 308
2003
Earlier work this paper cites.
A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP 0509
2005
Earlier work this paper cites.
M. Alishahiha and F. Ardalan, “Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence,” JHEP 0808
Original
2008
Earlier work this paper cites.
M. Alishahiha, R. Fareghbal and A. E. Mosaffa, “2D Gravity on AdS(2) with Chern-Simons Corrections,” JHEP 0901
Original
2009
Earlier work this paper cites.
A. Kitaev. A simple model of quantum holography. - 2015. Talks at KITP, April 7,and May 27. http://online.kitp.ucsb.edu/online/entangled15/kitaev
2015
Earlier work this paper cites.