Noether charge, black hole volume, and complexity - INSPIRE

DataBETA

Noether charge, black hole volume, and complexity

Josiah Couch
(
- Texas U. and
- Texas U., TCC
)
,
Willy Fischler
(
- Texas U. and
- Texas U., TCC
)
,
Phuc H. Nguyen
(
- Texas U. and
- Texas U., TCC
)

Oct 6, 2016

22 pages

Published in:

JHEP 03 (2017) 119

Published: Mar 23, 2017

e-Print:

1610.02038 [hep-th]

DOI:

10.1007/JHEP03(2017)119

Report number:

UTTG-16-16

View in:

reference search253 citations

Citations per year

Abstract: (Springer)

In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we discuss how the extended thermodynamics interacts with the recent complexity = action proposal of Brown et al. (CA-duality). We, in particular, discover that their proposal for the late time rate of change of complexity has a nice decomposition in terms of thermodynamic quantities reminiscent of the Smarr relation. This decomposition strongly suggests a geometric, and via CA-duality holographic, interpretation for the thermodynamic volume of an AdS black hole. We go on to discuss the role of thermodynamics in complexity = action for a number of black hole solutions, and then point out the possibility of an alternate proposal, which we dub “complexity = volume 2.0”. In this alternate proposal the complexity would be thought of as the spacetime volume of the Wheeler-DeWitt patch. Finally, we provide evidence that, in certain cases, our proposal for complexity is consistent with the Lloyd bound whereas CA-duality is not.

Note:

v4: Changed to match published version

AdS-CFT Correspondence
Black Holes
Gauge-gravity correspondence
Models of Quantum Gravity
black hole: anti-de Sitter
black hole: hair
charge: Noether
thermodynamics
Wheeler-DeWitt equation
Schwarzschild

References(56)

Figures(3)

[1]

Black holes and entropy

Jacob D. Bekenstein
(
- Princeton U. and
- Texas U.
)

- Phys.Rev.D 7 (1973) 2333-2346
•
DOI:
- 10.1103/PhysRevD.7.2333

[2]

Generalized second law of thermodynamics in black hole physics

Jacob D. Bekenstein
(
- Texas U.
)

- Phys.Rev.D 9 (1974) 3292-3300
•
DOI:
- 10.1103/PhysRevD.9.3292

[3]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[4]

Black Holes and Thermodynamics

S.W. Hawking
(
- Caltech and
- Cambridge U.
)

- Phys.Rev.D 13 (1976) 191-197
•
DOI:
- 10.1103/PhysRevD.13.191

[5]

Enthalpy and the Mechanics of AdS Black Holes

David Kastor
(
- Massachusetts U., Amherst
)
,
Sourya Ray
(
- CECS, Valdivia
)
,
Jennie Traschen
(
- Massachusetts U., Amherst
)

- Class.Quant.Grav. 26 (2009) 195011
•
e-Print:
- 0904.2765
•
DOI:
- 10.1088/0264-9381/26/19/195011

[6]

Black hole chemistry

David Kubiznak
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert B. Mann
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- Can.J.Phys. 93 (2015) 9, 999-1002
•
e-Print:
- 1404.2126
•
DOI:
- 10.1139/cjp-2014-0465

[7]

Where Is the PdV in the First Law of Black Hole Thermodynamics?

Brian P. Dolan
(
- NUIM, Maynooth and
- Dublin Inst.
)

- ,
- Open Questions in Cosmology, Chapter 12 (2012), ed. G.J. Olmo, IntechOpen
•
e-Print:
- 1209.1272
•
DOI:
- 10.5772/52455

[8]

Lower-Dimensional Black Hole Chemistry

Antonia M. Frassino
(
- Frankfurt U., FIAS and
- Perimeter Inst. Theor. Phys.
)
,
Robert B. Mann
(
- Waterloo U.
)
,
Jonas R. Mureika
(
- UCLA
)

- Phys.Rev.D 92 (2015) 12, 124069
•
e-Print:
- 1509.05481
•
DOI:
- 10.1103/PhysRevD.92.124069

[9]

Black hole chemistry: thermodynamics with Lambda

David Kubiznak
(
- Waterloo U. and
- Perimeter Inst. Theor. Phys.
)
,
Robert B. Mann
(
- Waterloo U. and
- Perimeter Inst. Theor. Phys.
)
,
Mae Teo
(
- Stanford U., ITP
)

- Class.Quant.Grav. 34 (2017) 6, 063001
•
e-Print:
- 1608.06147
•
DOI:
- 10.1088/1361-6382/aa5c69

[10]

Holographic Heat Engines

Clifford V. Johnson
(
- Southern California U.
)

- Class.Quant.Grav. 31 (2014) 205002
•
e-Print:
- 1404.5982
•
DOI:
- 10.1088/0264-9381/31/20/205002

[11]

Holographic entanglement entropy and the extended phase structure of STU black holes

Elena Caceres
(
- Colima U. and
- Texas U.
)
,
Phuc H. Nguyen
(
- Texas U. and
- Texas U., TCC
)
,
Juan F. Pedraza
(
- Texas U. and
- Texas U., TCC
)

- JHEP 09 (2015) 184
•
e-Print:
- 1507.06069
•
DOI:
- 10.1007/JHEP09(2015)184

[12]

Holographic Black Hole Chemistry

- JHEP 12 (2015) 073
•
e-Print:
- 1510.02472
•
DOI:
- 10.1007/JHEP12(2015)073

[13]

Holographic entanglement chemistry

Elena Caceres
(
- Colima U. and
- Texas U.
)
,
Phuc H. Nguyen
(
- Texas U. and
- Texas U., TCC
)
,
Juan F. Pedraza
(
- Amsterdam U.
)

- Phys.Rev.D 95 (2017) 10, 106015
•
e-Print:
- 1605.00595
•
DOI:
- 10.1103/PhysRevD.95.106015

[14]

An equal area law for holographic entanglement entropy of the AdS-RN black hole

Phuc H. Nguyen
(
- Texas U. and
- Texas U., TCC
)

- JHEP 12 (2015) 139
•
e-Print:
- 1508.01955
•
DOI:
- 10.1007/JHEP12(2015)139

[15]

Extended First Law for Entanglement Entropy in Lovelock Gravity

- Entropy 18 (2016) 6, 212
•
e-Print:
- 1604.04468
•
DOI:
- 10.3390/e18060212

[16]

Chemical Potential in the First Law for Holographic Entanglement Entropy

- JHEP 11 (2014) 120
•
e-Print:
- 1409.3521
•
DOI:
- 10.1007/JHEP11(2014)120

[17]

Thermodynamic Products in Extended Phase Space

Parthapratim Pradhan
(
- Vivekananda Satabarshiki Maha.
)

- Int.J.Mod.Phys.D 26 (2016) 02, 1750010
•
e-Print:
- 1603.07748
•
DOI:
- 10.1142/S0218271817500109

[18]

Some properties of Noether charge and a proposal for dynamical black hole entropy

Vivek Iyer
(
- Chicago U., EFI and
- Chicago U.
)
,
Robert M. Wald
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.D 50 (1994) 846-864
•
e-Print:
- gr-qc/9403028
•
DOI:
- 10.1103/PhysRevD.50.846

[19]

A Comparison of Noether charge and Euclidean methods for computing the entropy of stationary black holes

Vivek Iyer
(
- Chicago U. and
- Chicago U., EFI
)
,
Robert M. Wald
(
- Chicago U. and
- Chicago U., EFI
)

- Phys.Rev.D 52 (1995) 4430-4439
•
e-Print:
- gr-qc/9503052
•
DOI:
- 10.1103/PhysRevD.52.4430

[20]

Gravitation from Entanglement in Holographic CFTs

- JHEP 03 (2014) 051
•
e-Print:
- 1312.7856
•
DOI:
- 10.1007/JHEP03(2014)051

[21]

Locality of Gravitational Systems from Entanglement of Conformal Field Theories

Jennifer Lin
(
- Chicago U., EFI and
- Chicago U.
)
,
Matilde Marcolli
(
- Caltech
)
,
Hirosi Ooguri
(
- Caltech and
- Tokyo U., IPMU
)
,
Bogdan Stoica
(
- Caltech
)

- Phys.Rev.Lett. 114 (2015) 221601
•
e-Print:
- 1412.1879
•
DOI:
- 10.1103/PhysRevLett.114.221601

[22]

Canonical Energy is Quantum Fisher Information

Nima Lashkari
(
- MIT, Cambridge, CTP and
- British Columbia U.
)
,
Mark Van Raamsdonk
(
- British Columbia U.
)

- JHEP 04 (2016) 153
•
e-Print:
- 1508.00897
•
DOI:
- 10.1007/JHEP04(2016)153

[23]

Gravitational positive energy theorems from information inequalities

Nima Lashkari
(
- MIT, Cambridge, CTP
)
,
Jennifer Lin
(
- Princeton, Inst. Advanced Study
)
,
Hirosi Ooguri
(
- Caltech and
- Harvard U. and
- Tokyo U., IPMU
)
,
Bogdan Stoica
(
- Caltech
)
,
Mark Van Raamsdonk
(
- British Columbia U.
)

- PTEP 2016 (2016) 12, 12C109
•
e-Print:
- 1605.01075
•
DOI:
- 10.1093/ptep/ptw139

[24]

Holographic equivalence between the first law of entanglement entropy and the linearized gravitational equations

Benjamin Mosk
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 94 (2016) 12, 126001
•
e-Print:
- 1608.06292
•
DOI:
- 10.1103/PhysRevD.94.126001

[25]

Holographic Complexity Equals Bulk Action?

Adam R. Brown
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Daniel A. Roberts
(
- MIT, Cambridge, CTP and
- MIT, LNS
)
,
Leonard Susskind
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Brian Swingle
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Ying Zhao
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)

- Phys.Rev.Lett. 116 (2016) 19, 191301
•
e-Print:
- 1509.07876
•
DOI:
- 10.1103/PhysRevLett.116.191301

1-25 of 56
1
2
3
25 / page