Built on

L. Susskind, “Complexity and Newton’s Laws,” Front. in Phys
Original
1904
Earlier work this paper cites.
A. Lewkowycz, J. Liu, E. Silverstein and G. Torroba, “
Original
1909
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Creation,” Phys. Rev. D
1977
Earlier work this paper cites.
G. ’t Hooft, “Dimensional reduction in quantum gravity,” Conf. Proc. C
1993
Earlier work this paper cites.
L. Susskind, “The World as a hologram,” J. Math. Phys
1995
Earlier work this paper cites.
L. Dyson, M. Kleban and L. Susskind, “Disturbing implications of a cosmological constant,” JHEP
2002
Earlier work this paper cites.
T. Banks and W. Fischler, “Holographic Space-time, Newton‘s Law, and the Dynamics of Horizons,” [arXiv:2003.03637 [hep-th]]
Original
2003
Earlier work this paper cites.

Similar

S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Cited alongside, same era.
T. Banks, B. Fiol and A. Morisse, “Towards a quantum theory of de Sitter space,” JHEP
2006
Cited alongside, same era.
M. Berkooz, V. Narovlansky and H. Raj, “Complex Sachdev-Ye-Kitaev model in the double scaling limit,” JHEP
Original
2006
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.
M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav
Original
2010
Cited alongside, same era.

Then

J. Maldacena, D. Stanford and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” PTEP
Original
2016
Later among the works it cites.
M. Freedman and M. Headrick, “Bit threads and holographic entanglement,” Commun. Math. Phys
Original
2017
Later among the works it cites.
J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker, D. Stanford, A. Streicher and M. Tezuka, “Black Holes and Random Matrices,” JHEP
Original
2017
Later among the works it cites.
D. A. Roberts, D. Stanford and A. Streicher, “Operator growth in the SYK model,” JHEP
Original
2018
Later among the works it cites.
A. R. Brown and L. Susskind, “Second law of quantum complexity,” Phys. Rev. D

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2021

Entanglement and Chaos in De Sitter Holography: An SYK Example

Susskind, Leonard

Understand

Entanglement, chaos, and complexity are as important for de Sitter space as for AdS and for black holes.

There are similarities and great differences between AdS and dS in how these concepts are manifested in the space-time geometry.
In the first part of this paper the Ryu-Takayanagi prescription, the theory of fast scrambling, and the holographic complexity correspondence are reformulated for de Sitter space.
Criteria are proposed for a holographic model to describe de Sitter space.

Built on

L. Susskind, “Complexity and Newton’s Laws,” Front. in Phys
Original
1904
Earlier work this paper cites.
A. Lewkowycz, J. Liu, E. Silverstein and G. Torroba, “
Original
1909
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Creation,” Phys. Rev. D
1977
Earlier work this paper cites.
G. ’t Hooft, “Dimensional reduction in quantum gravity,” Conf. Proc. C
1993
Earlier work this paper cites.
L. Susskind, “The World as a hologram,” J. Math. Phys
1995
Earlier work this paper cites.
L. Dyson, M. Kleban and L. Susskind, “Disturbing implications of a cosmological constant,” JHEP
2002
Earlier work this paper cites.
T. Banks and W. Fischler, “Holographic Space-time, Newton‘s Law, and the Dynamics of Horizons,” [arXiv:2003.03637 [hep-th]]
Original
2003
Earlier work this paper cites.

Similar

S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Cited alongside, same era.
T. Banks, B. Fiol and A. Morisse, “Towards a quantum theory of de Sitter space,” JHEP
2006
Cited alongside, same era.
M. Berkooz, V. Narovlansky and H. Raj, “Complex Sachdev-Ye-Kitaev model in the double scaling limit,” JHEP
Original
2006
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.
M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav
Original
2010
Cited alongside, same era.

Then

J. Maldacena, D. Stanford and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” PTEP
Original
2016
Later among the works it cites.
M. Freedman and M. Headrick, “Bit threads and holographic entanglement,” Commun. Math. Phys
Original
2017
Later among the works it cites.
J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker, D. Stanford, A. Streicher and M. Tezuka, “Black Holes and Random Matrices,” JHEP
Original
2017
Later among the works it cites.
D. A. Roberts, D. Stanford and A. Streicher, “Operator growth in the SYK model,” JHEP
Original
2018
Later among the works it cites.
A. R. Brown and L. Susskind, “Second law of quantum complexity,” Phys. Rev. D

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

L. Susskind, “Computational Complexity and Black Hole Horizons,” Fortsch. Phys

Original

2016

Cited alongside, same era.

J. Maldacena, S. H. Shenker and D. Stanford, “A bound on chaos,” JHEP

Original

2016

Cited alongside, same era.

L. Susskind, “De Sitter Holography: Fluctuations, Anomalous Symmetry, and Wormholes,” [arXiv:2106.03964 [hep-th]]

Original

Cited in the paper.

L. Susskind, “Black Holes Hint Towards De Sitter-Matrix Theory,” [arXiv:2109.01322 [hep-th]]

Original

Cited in the paper.

L. Susskind, “Addendum to Fast Scramblers,” [arXiv:1101.6048 [hep-th]]

Original

Cited in the paper.

T. Banks and W. Fischler, “Holographic Space-time, Newton’s Law and the Dynamics of Black Holes,” [arXiv:1606.01267 [hep-th]]

Original

Cited in the paper.

L. Susskind, “Why do Things Fall?,” [arXiv:1802.01198 [hep-th]]

Original

Cited in the paper.

Original

2018

Later among the works it cites.

H. Verlinde, Talks given in 2019: 1) the QIQG5 conference at UCDavis, 2) Quantum Gravity in the Southern Cone VIII in Bariloche, Argentina, and 3) the SRITP workshop Gauge Theories and Black Holes at Weizmann Institute, all in 2019

2019

Later among the works it cites.

Y. Sekino and L. Susskind, “Fast Scramblers,” JHEP

Original

2096

Closest in time.