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S. Grozdanov, P. K. Kovtun, A. O. Starinets and P. Tadić, “The complex life of hydrodynamic modes,” arXiv:1904.12862 [hep-th]
Original
1904
Earlier work this paper cites.
M. Blake, R. A. Davison and D. Vegh, “Horizon constraints on holographic Green’s functions,” arXiv:1904.12883 [hep-th]
Original
1904
Earlier work this paper cites.
M. Natsuume and T. Okamura, “Nonuniqueness of Green’s functions at special points,” JHEP 1912
Original
1905
Earlier work this paper cites.
M. Natsuume and T. Okamura, “Holographic chaos, pole-skipping, and regularity,” PTEP 2020
Original
1905
Earlier work this paper cites.
A. A. Tseytlin, “Ambiguity in the Effective Action in String Theories,” Phys. Lett. B 176
1986
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, “The Quartic Effective Action for the Heterotic String,” Nucl. Phys. B 291
1987
Earlier work this paper cites.
M. Natsuume, “Higher order correction to the Garfinkle-Horowitz-Strominger string black hole,” Phys. Rev. D 50
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
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. B 428
1998
Earlier work this paper cites.

Similar

R. G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
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Cited alongside, same era.
A. Buchel, J. T. Liu and A. O. Starinets, “Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory,” Nucl. Phys. B 707
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2008
Cited alongside, same era.

Then

S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 1403
Original
2014
Later among the works it cites.
M. Natsuume, AdS/CFT Duality User Guide
Original
2015
Later among the works it cites.
M. Ammon and J. Erdmenger, Gauge/gravity duality : Foundations and applications
2015
Later among the works it cites.
J. Zaanen, Y. W. Sun, Y. Liu and K. Schalm, Holographic Duality in Condensed Matter Physics
2015
Later among the works it cites.
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Later among the works it cites.

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2019

Pole-skipping with finite-coupling corrections

Natsuume, Makoto, Okamura, Takashi

Understand

Recently, it is shown that many Green's functions are not unique at special points in complex momentum space using AdS/CFT.

This phenomenon is similar to the pole-skipping in holographic chaos, and the special points are typically located at $\omega_n = -(2\pi T)ni$ with appropriate values of complex wave number $q_n$.
We study finite-coupling corrections to special points.
As examples, we consider four-derivative corrections to gravitational perturbations and four-dimensional Maxwell perturbations.

Built on

S. Grozdanov, P. K. Kovtun, A. O. Starinets and P. Tadić, “The complex life of hydrodynamic modes,” arXiv:1904.12862 [hep-th]
Original
1904
Earlier work this paper cites.
M. Blake, R. A. Davison and D. Vegh, “Horizon constraints on holographic Green’s functions,” arXiv:1904.12883 [hep-th]
Original
1904
Earlier work this paper cites.
M. Natsuume and T. Okamura, “Nonuniqueness of Green’s functions at special points,” JHEP 1912
Original
1905
Earlier work this paper cites.
M. Natsuume and T. Okamura, “Holographic chaos, pole-skipping, and regularity,” PTEP 2020
Original
1905
Earlier work this paper cites.
A. A. Tseytlin, “Ambiguity in the Effective Action in String Theories,” Phys. Lett. B 176
1986
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, “The Quartic Effective Action for the Heterotic String,” Nucl. Phys. B 291
1987
Earlier work this paper cites.
M. Natsuume, “Higher order correction to the Garfinkle-Horowitz-Strominger string black hole,” Phys. Rev. D 50
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
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. B 428
1998
Earlier work this paper cites.

Similar

R. G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
2002
Cited alongside, same era.
A. Buchel, J. T. Liu and A. O. Starinets, “Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory,” Nucl. Phys. B 707
2005
Cited alongside, same era.
C. P. Herzog, P. Kovtun, S. Sachdev and D. T. Son, “Quantum critical transport, duality, and M-theory,” Phys. Rev. D 75
2007
Cited alongside, same era.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “Viscosity Bound Violation in Higher Derivative Gravity,” Phys. Rev. D 77
Original
2008
Cited alongside, same era.
A. Buchel, “Resolving disagreement for eta/s in a CFT plasma at finite coupling,” Nucl. Phys. B 803
Original
2008
Cited alongside, same era.

Then

S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 1403
Original
2014
Later among the works it cites.
M. Natsuume, AdS/CFT Duality User Guide
Original
2015
Later among the works it cites.
M. Ammon and J. Erdmenger, Gauge/gravity duality : Foundations and applications
2015
Later among the works it cites.
J. Zaanen, Y. W. Sun, Y. Liu and K. Schalm, Holographic Duality in Condensed Matter Physics
2015
Later among the works it cites.
D. A. Roberts, D. Stanford and L. Susskind, “Localized shocks,” JHEP 1503
Original
2015
Later among the works it cites.