Built on

V. Jahnke, K. Y. Kim and J. Yoon, “On the Chaos Bound in Rotating Black Holes,” JHEP 05
Original
1903
Earlier work this paper cites.
S. Grozdanov, P. K. Kovtun, A. O. Starinets and P. Tadić, “The complex life of hydrodynamic modes,” JHEP 11
Original
1904
Earlier work this paper cites.
M. Blake, R. A. Davison and D. Vegh, “Horizon constraints on holographic Green’s functions,” JHEP 01
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.
Y. Ahn, V. Jahnke, H. S. Jeong and K. Y. Kim, “Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping,” JHEP 10
Original
1907
Earlier work this paper cites.
M. Mezei and G. Sárosi, “Chaos in the butterfly cone,” JHEP 01
Original
1908
Earlier work this paper cites.
M. Natsuume and T. Okamura, “Pole-skipping with finite-coupling corrections,” Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
X. Wu, “Higher curvature corrections to pole-skipping,” JHEP 12
Original
1909
Earlier work this paper cites.
F. Balm, A. Krikun, A. Romero-Bermúdez, K. Schalm and J. Zaanen, “Isolated zeros destroy Fermi surface in holographic models with a lattice,” JHEP 01
Original
1909
Earlier work this paper cites.
N. Ceplak, K. Ramdial and D. Vegh, “Fermionic pole-skipping in holography,” JHEP 07
Original
1910
Earlier work this paper cites.
A. Banerjee, A. Kundu and R. R. Poojary, “Rotating Black Holes in AdS, Extremality and Chaos,” [arXiv:1912.12996 [hep-th]]
Original
1912
Earlier work this paper cites.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
1965
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, “Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity,” Phys. Lett. B 115
1982
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, “Geometry of the (2+1) black hole,” Phys. Rev. D 48
1993
Earlier work this paper cites.
E. S. C. Ching, P. T. Leung, W. M. Suen and K. Young, “Wave propagation in gravitational systems: Late time behavior,” Phys. Rev. D 52
1995
Earlier work this paper cites.

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2020

Pole-skipping and zero temperature

Natsuume, Makoto, Okamura, Takashi

Understand

We study the pole-skipping phenomenon of the scalar retarded Green's function in the rotating BTZ black hole background.

In the static case, the pole-skipping points are typically located at negative imaginary Matsubara frequencies $\omega=-(2\pi T)ni$ with appropriate values of complex wave number $q$.
But, in a $(1+1)$-dimensional CFT, one can introduce temperatures for left-moving and right-moving sectors independently.
As a result, the pole-skipping points $\omega$ depend both on left and right temperatures in the rotating background.

Built on

V. Jahnke, K. Y. Kim and J. Yoon, “On the Chaos Bound in Rotating Black Holes,” JHEP 05
Original
1903
Earlier work this paper cites.
S. Grozdanov, P. K. Kovtun, A. O. Starinets and P. Tadić, “The complex life of hydrodynamic modes,” JHEP 11
Original
1904
Earlier work this paper cites.
M. Blake, R. A. Davison and D. Vegh, “Horizon constraints on holographic Green’s functions,” JHEP 01
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.
Y. Ahn, V. Jahnke, H. S. Jeong and K. Y. Kim, “Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping,” JHEP 10
Original
1907
Earlier work this paper cites.
M. Mezei and G. Sárosi, “Chaos in the butterfly cone,” JHEP 01
Original
1908
Earlier work this paper cites.
M. Natsuume and T. Okamura, “Pole-skipping with finite-coupling corrections,” Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
X. Wu, “Higher curvature corrections to pole-skipping,” JHEP 12
Original
1909
Earlier work this paper cites.
F. Balm, A. Krikun, A. Romero-Bermúdez, K. Schalm and J. Zaanen, “Isolated zeros destroy Fermi surface in holographic models with a lattice,” JHEP 01
Original
1909
Earlier work this paper cites.
N. Ceplak, K. Ramdial and D. Vegh, “Fermionic pole-skipping in holography,” JHEP 07
Original
1910
Earlier work this paper cites.
A. Banerjee, A. Kundu and R. R. Poojary, “Rotating Black Holes in AdS, Extremality and Chaos,” [arXiv:1912.12996 [hep-th]]
Original
1912
Earlier work this paper cites.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
1965
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, “Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity,” Phys. Lett. B 115
1982
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, “Geometry of the (2+1) black hole,” Phys. Rev. D 48
1993
Earlier work this paper cites.
E. S. C. Ching, P. T. Leung, W. M. Suen and K. Young, “Wave propagation in gravitational systems: Late time behavior,” Phys. Rev. D 52
1995
Earlier work this paper cites.

Similar

J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Cited alongside, same era.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B 428
1998
Cited alongside, same era.
I. R. Klebanov and E. Witten, “AdS / CFT correspondence and symmetry breaking,” Nucl. Phys. B 556
1999
Cited alongside, same era.