Anisotropic flows into black holes - INSPIRE

DataBETA

Anisotropic flows into black holes

Elena Caceres
(
- Texas U.
)
,
Sanjit Shashi
(
- Texas U.
)

Sep 14, 2022

23 pages

Published in:

JHEP 01 (2023) 007

Published: Jan 3, 2023

e-Print:

2209.06818 [hep-th]

DOI:

10.1007/JHEP01(2023)007

Report number:

UTWI-01-2022

View in:

reference search14 citations

Citations per year

Abstract: (Springer)

We consider anisotropic black holes in the context of holographic renormalization group (RG) flows. We construct an a-function that is stationary at the boundary and the horizon and prove that it is also monotonic in both the exterior and the interior of the black hole. In spite of the reduced symmetry, we find that the “radial” null energy condition is sufficient to ensure the existence of this monotonic a-function. After constructing the a-function, we explore a holographic anisotropic p-wave superfluid state as a concrete example and numerical testing grounds. In doing so, we find that the a-function exhibits nontrivial oscillations in the trans-IR regime while preserving monotonicity. We find evidence that such oscillations appear to drive the trans-IR flow into nontrivial fixed points. We conclude by briefly discussing how our work fits into both the broader program of holographic RG flow and quantum information approaches to probing the black hole interior.

Note:

23 pages (including appendices) + references, 7 figures; v3: added appendix proving NEC in holographic p-wave superfluid + minor clarifications and corrections, version to appear in JHEP

AdS-CFT Correspondence
Black Holes
Renormalization Group
Holography and Condensed Matter Physics (AdS/CMT)
renormalization group: flow
black hole
holography
oscillation
anisotropy
null-energy condition

References(63)

Figures(8)

[1]

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]

Space-time and the holographic renormalization group

Vijay Balasubramanian
(
- Harvard U. and
- Santa Barbara, KITP
)
,
Per Kraus
(
- Chicago U., EFI
)

- Phys.Rev.Lett. 83 (1999) 3605-3608
•
e-Print:
- hep-th/9903190
•
DOI:
- 10.1103/PhysRevLett.83.3605

[3]

On the holographic renormalization group

Jan de Boer
(
- Utrecht U. and
- Leiden U.
)
,
Erik P. Verlinde
(
- Princeton U.
)
,
Herman L. Verlinde
(
- Princeton U. and
- Amsterdam U.
)

- JHEP 08 (2000) 003
•
e-Print:
- hep-th/9912012
•
DOI:
- 10.1088/1126-6708/2000/08/003

[4]

The Holographic renormalization group

Jan de Boer
(
- Amsterdam U.
)

- Fortsch.Phys. 49 (2001) 339-358
•
e-Print:
- hep-th/0101026
•
DOI:
- 10.1002/1521-3978(200105)49:4/6<339::AID-PROP339>3.0.CO;2-A

[5]

Holographic renormalization

Massimo Bianchi
(
- Rome U., Tor Vergata and
- Cambridge U., DAMTP
)
,
Daniel Z. Freedman
(
- MIT, LNS
)
,
Kostas Skenderis
(
- Princeton U.
)

- Nucl.Phys.B 631 (2002) 159-194
•
e-Print:
- hep-th/0112119
•
DOI:
- 10.1016/S0550-3213(02)00179-7

[6]

Holographic renormalization group

Masafumi Fukuma
(
- Kyoto U.
)
,
So Matsuura
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Tadakatsu Sakai
(
- Tel Aviv U.
)

- Prog.Theor.Phys. 109 (2003) 489-562
•
e-Print:
- hep-th/0212314
•
DOI:
- 10.1143/PTP.109.489

[7]

AdS / CFT correspondence and geometry

Ioannis Papadimitriou
(
- Amsterdam U.
)
,
Kostas Skenderis
(
- Amsterdam U.
)

- IRMA Lect.Math.Theor.Phys. 8 (2005) 73-101
•
e-Print:
- hep-th/0404176
•
DOI:
- 10.4171/013-1/4

[8]

Thermodynamics of asymptotically locally AdS spacetimes

Ioannis Papadimitriou
(
- Amsterdam U.
)
,
Kostas Skenderis
(
- Amsterdam U.
)

- JHEP 08 (2005) 004
•
e-Print:
- hep-th/0505190
•
DOI:
- 10.1088/1126-6708/2005/08/004

[9]

Holographic flows from CFT to the Kasner universe

- JHEP 08 (2020) 003
•
e-Print:
- 2004.01192
•
DOI:
- 10.1007/JHEP08(2020)003

Trans-IR flows to black hole singularities

- Phys.Rev.D 106 (2022) 4, 046005
•
e-Print:
- 2201.06579
•
DOI:
- 10.1103/PhysRevD.106.046005

[11]

Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- JETP Lett. 43 (1986) 730-732,
- Pisma Zh.Eksp.Teor.Fiz. 43 (1986) 565-567

Is There a c Theorem in Four-Dimensions?

John L. Cardy
(
- UC, Santa Barbara
)

- Phys.Lett.B 215 (1988) 749-752
•
DOI:
- 10.1016/0370-2693(88)90054-8

[13]

On Renormalization Group Flows in Four Dimensions

Zohar Komargodski
(
- Weizmann Inst. and
- Princeton, Inst. Advanced Study
)
,
Adam Schwimmer
(
- Weizmann Inst.
)

- JHEP 12 (2011) 099
•
e-Print:
- 1107.3987
•
DOI:
- 10.1007/JHEP12(2011)099

[14]

Renormalization group flows from holography supersymmetry and a c theorem

D.Z. Freedman
(
- MIT and
- MIT, LNS
)
,
S.S. Gubser
(
- Harvard U.
)
,
K. Pilch
(
- Southern California U.
)
,
N.P. Warner
(
- CERN
)

- Adv.Theor.Math.Phys. 3 (1999) 363-417
•
e-Print:
- hep-th/9904017
•
DOI:
- 10.4310/ATMP.1999.v3.n2.a7

Seeing a c-theorem with holography

- Phys.Rev.D 82 (2010) 046006
•
e-Print:
- 1006.1263
•
DOI:
- 10.1103/PhysRevD.82.046006

[16]

Holographic c-theorems in arbitrary dimensions

- JHEP 01 (2011) 125
•
e-Print:
- 1011.5819
•
DOI:
- 10.1007/JHEP01(2011)125

[17]

A c-theorem for the entanglement entropy

- J.Phys.A 40 (2007) 7031-7036
•
e-Print:
- cond-mat/0610375
•
DOI:
- 10.1088/1751-8113/40/25/S57

On the RG running of the entanglement entropy of a circle

- Phys.Rev.D 85 (2012) 125016
•
e-Print:
- 1202.5650
•
DOI:
- 10.1103/PhysRevD.85.125016

[19]

Entanglement does not generally decrease under renormalization

Brian Swingle
(
- Harvard U., Phys. Dept.
)

- J.Stat.Mech. 1410 (2014) 10, P10041
•
e-Print:
- 1307.8117
•
DOI:
- 10.1088/1742-5468/2014/10/P10041

Strongly-coupled anisotropic gauge theories and holography

Dimitrios Giataganas
(
- NCTS, Hsinchu
)
,
Umut Gürsoy
(
- Utrecht U.
)
,
Juan F. Pedraza
(
- Amsterdam U.
)

- Phys.Rev.Lett. 121 (2018) 12, 121601
•
e-Print:
- 1708.05691
•
DOI:
- 10.1103/PhysRevLett.121.121601

$c$ -Theorem for Anisotropic RG Flows from Holographic Entanglement Entropy

Chong-Sun Chu
(
- NCTS, Hsinchu
)
,
Dimitrios Giataganas
(
- NCTS, Hsinchu and
- Athens U.
)

- Phys.Rev.D 101 (2020) 4, 046007
•
e-Print:
- 1906.09620
•
DOI:
- 10.1103/PhysRevD.101.046007

Constraints on anisotropic RG flows from holographic entanglement entropy

- Phys.Rev.D 104 (2021) 086028
•
e-Print:
- 1907.01546
•
DOI:
- 10.1103/PhysRevD.104.086028

[23]

The Gravity dual of a p-wave superconductor

Steven S. Gubser
(
- Princeton U.
)
,
Silviu S. Pufu
(
- Princeton U.
)

- JHEP 11 (2008) 033
•
e-Print:
- 0805.2960
•
DOI:
- 10.1088/1126-6708/2008/11/033

[24]

On Holographic p-wave Superfluids with Back-reaction

- Phys.Lett.B 686 (2010) 192-198
•
e-Print:
- 0912.3515
•
DOI:
- 10.1016/j.physletb.2010.02.021

[25]

The Holographic Weyl anomaly

M. Henningson
(
- CERN
)
,
K. Skenderis
(
- Leuven U.
)

- JHEP 07 (1998) 023
•
e-Print:
- hep-th/9806087
•
DOI:
- 10.1088/1126-6708/1998/07/023

1-25 of 63
1
2
3
25 / page