Pole skipping in a non-black-hole geometry - INSPIRE

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Pole skipping in a non-black-hole geometry

Makoto Natsuume
(
- KEK, Tsukuba
)
,
Takashi Okamura
(
- Kwansei Gakuin U.
)

Jun 6, 2023

15 pages

Published in:

Phys.Rev.D 108 (2023) 4, 046012

Published: Aug 15, 2023

e-Print:

2306.03930 [hep-th]

DOI:

10.1103/PhysRevD.108.046012 (publication)

Report number:

KEK-TH-2521

View in:

ADS Abstract Service

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Abstract: (APS)

Pole skipping has been discussed in black-hole backgrounds, but we point out that pole skipping exists even in a non-black-hole background, the anti–de Sitter soliton. For black holes, the pole-skipping points are typically located at imaginary Matsubara frequencies

ω = - (2 π T) n i

with an integer

n

. The anti–de Sitter soliton is obtained by the double Wick rotation from a black hole. As a result, the pole-skipping points are located at

q_{z} = - (2 π n) / l

, where

l

is the

S^{1}

periodicity and

q_{z}

is the

S^{1}

momentum. The “chaotic” and the “hydrodynamic” pole-skipping points lie in the physical region. We also propose a method to identify all pole-skipping points instead of the conventional method.

Note:

15 pages, ReVTeX4.2; v2: comment on alternative formalism added in Sec. 2, physical implication added in Sec. 5, typos corrected, published version

black hole: background
soliton
anti-de Sitter
geometry
pi n
chaos
hydrodynamics
rotation

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