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Pole-skipping with finite-coupling corrections

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

Sep 19, 2019

15 pages

Published in:

Phys.Rev.D 100 (2019) 12, 126012

Published: Dec 10, 2019

e-Print:

1909.09168 [hep-th]

DOI:

10.1103/PhysRevD.100.126012

Report number:

KEK-TH-2150

View in:

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Abstract: (APS)

Recently, it has been 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 ωn=-(2πT)ni with appropriate values of complex wave number qn. We study finite-coupling corrections to special points. As examples, we consider four-derivative corrections to gravitational perturbations and four-dimensional Maxwell perturbations. While ωn is uncorrected, qn is corrected at finite coupling. Some special points disappear at particular values of higher-derivative couplings. Special point locations of the Maxwell scalar and vector modes are related to each other by the electromagnetic duality.

Note:

14 pages, ReVTeX4.1; v2: added comments on field redefinitions, published version

String theory, quantum gravity, gauge/gravity duality
perturbation: gravitation
derivative: high
AdS/CFT correspondence
electromagnetic field: duality
chaos
correction: quantum
string model
Einstein-Maxwell equation
universality

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Figures(0)

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