Holographic chaos, pole-skipping, and regularity

Natsuume, Makoto; Okamura, Takashi

doi:10.1093/ptep/ptz155

Holographic chaos, pole-skipping, and regularity

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

May 28, 2019

19 pages

Published in:

PTEP 2020 (2020) 1, 013B07

Published: Jan 1, 2020

e-Print:

1905.12014 [hep-th]

DOI:

10.1093/ptep/ptz155 (publication)

Report number:

KEK-TH-2128

View in:

reference search49 citations

Citations per year

Abstract: (Oxford University Press)

We investigate the “pole-skipping” phenomenon in holographic chaos. According to pole-skipping, the energy-density Green’s function is not unique at a special point in the complex momentum plane. This arises because the bulk field equation has two regular near-horizon solutions at the special point. We study the regularity of the two solutions more carefully using curvature invariants. In the upper-half |

\omega

|-plane, one solution, which is normally interpreted as the outgoing mode, is in general singular at the future horizon and produces a curvature singularity. However, at the special point, both solutions are indeed regular. Moreover, the incoming mode cannot be uniquely defined at the special point due to these solutions.

Note:

19 pages, PTEPHY; v2: a few clarifications, published version

Holography and condensed matter physics (AdS/CMT)
AdS-CFT Correspondence
Black Holes
B21 AdS/CFT correspondence
B22 Black holes in string theory
E01 Relativity
curvature: singularity
chaos
field equations
holography

References(31)

Figures(0)

[1]

A bound on chaos

- JHEP 08 (2016) 106
•
e-Print:
- 1503.01409
•
DOI:
- 10.1007/JHEP08(2016)106

[2]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[2]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[3]

Anti-de Sitter space and holography

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 253-291
•
e-Print:
- hep-th/9802150
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a2

[4]

Anti-de Sitter space, thermal phase transition, and confinement in gauge theories

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 505-532,
•
e-Print:
- hep-th/9803131
•
DOI:
- 10.4310/ATMP.1998.v2.n3.a3

[5]

Gauge theory correlators from noncritical string theory

S.S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 428 (1998) 105-114
•
e-Print:
- hep-th/9802109
•
DOI:
- 10.1016/S0370-2693(98)00377-3

[6]

Gauge/String Duality, Hot QCD and Heavy Ion Collisions

Jorge Casalderrey-Solana
(
- CERN
)
,
Hong Liu
(
- MIT, LNS
)
,
David Mateos
(
- Barcelona U. and
- ICC, Barcelona U. and
- ICREA, Barcelona
)
,
Krishna Rajagopal
(
- MIT, LNS
)
,
Urs Achim Wiedemann
(
- CERN
)

- ,
- ,
- book:Gauge/String Duality, Hot QCD and Heavy Ion Collisions. Cambridge, UK: Cambridge University Press, 2014
•
e-Print:
- 1101.0618
•
DOI:
- 10.1017/9781009403504