Thermodynamic Information Geometry and Applications in Holography - INSPIRE

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Thermodynamic Information Geometry and Applications in Holography

Jun 17, 2019

14 pages

Part of Proceedings, 13th International Workshop on Lie Theory and Its Applications in Physics (LT-13) : Varna, Bulgaria, June 17-23, 2019, 285-298

Published in:

Springer Proc.Math.Stat. 335 (2019) 285-298

Contribution to:

- LT-13
, 285-298

Published: Jun 17, 2019

DOI:

10.1007/978-981-15-7775-8_19

reference search1 citation

Citations per year

Abstract: (Springer)

In this report we investigate the space of equilibrium states for the three dimensional warped anti-de Sitter black hole solution (WAdS

_3

) of Topological massive gravity (TMG). Our considerations include the proper thermodynamic Riemannian metrics on the statistical manifold, spanned by the intensive quantities of the black hole, namely its temperature and angular velocity. Analyzing the conditions for thermodynamic stability of the system we identify possible phase transition points and impose several restrictions on the left and right central charges from the dual gauge theory. Finally, by considering the thermodynamic length of geodesic paths we find the optimal paths for quasi-static protocols on the equilibrium statistical manifold of the warped black hole solution.

References(14)

Figures(0)

[1]

Warped AdS(3) Black Holes

- JHEP 03 (2009) 130
•
e-Print:
- 0807.3040
•
DOI:
- 10.1088/1126-6708/2009/03/130

[2]

Background-independent charges in Topologically Massive Gravity

- JHEP 12 (2009) 046
•
e-Print:
- 0909.2275
•
DOI:
- 10.1088/1126-6708/2009/12/046

[3]

Metric geometry of equilibrium thermodynamics

F. Weinhold

- J.Chem.Phys. 63 (1975) 6, 2479
•
DOI:
- 10.1063/1.431689

[4]

Riemannian geometry in thermodynamic fluctuation theory

George Ruppeiner
(
- Royal Holloway, U. of London
)

- Rev.Mod.Phys. 67 (1995) 605-659,
- Rev.Mod.Phys. 68 (1996) 313-313 (erratum)
•
DOI:
- 10.1103/RevModPhys.67.605

[5]

Homogeneity and thermodynamic identities in geometrothermodynamics

- Eur.Phys.J.C 77 (2017) 3, 158
•
e-Print:
- 1701.06702
•
DOI:
- 10.1140/epjc/s10052-017-4739-3

[6]

A new approach toward geometrical concept of black hole thermodynamics

Seyed Hossein Hendi
(
- Shiraz U. and
- RIAAM, Maragha
)
,
Shahram Panahiyan
(
- Shiraz U.
)
,
Behzad Eslam Panah
(
- Shiraz U.
)
,
Mehrab Momennia
(
- Shiraz U.
)

- Eur.Phys.J.C 75 (2015) 10, 507
•
e-Print:
- 1506.08092
•
DOI:
- 10.1140/epjc/s10052-015-3701-5

[7]

Correspondence of phase transition points and singularities of thermodynamic geometry of black holes

- Eur.Phys.J.C 74 (2014) 99, 2681
•
e-Print:
- 1308.1543
•
DOI:
- 10.1140/epjc/s10052-013-2681-6

[8]

Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry

Seyed Ali Hosseini Mansoori
(
- Isfahan Tech. U.
)
,
Behrouz Mirza
(
- Isfahan Tech. U.
)
,
Mohamadreza Fazel
(
- New Mexico U.
)

- JHEP 04 (2015) 115
•
e-Print:
- 1411.2582
•
DOI:
- 10.1007/JHEP04(2015)115

[9]

Extrinsic and intrinsic curvatures in thermodynamic geometry

Seyed Ali Hosseini Mansoori
(
- Boston U. and
- Isfahan Tech. U.
)
,
Behrouz Mirza
(
- Isfahan Tech. U.
)
,
Elham Sharifian
(
- Isfahan Tech. U.
)

- Phys.Lett.B 759 (2016) 298-305
•
e-Print:
- 1602.03066
•
DOI:
- 10.1016/j.physletb.2016.05.096

[10]

Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories

Tsvetan Vetsov
(
- Sofiya U.
)

- Eur.Phys.J.C 79 (2019) 1, 71
•
e-Print:
- 1806.05011
•
DOI:
- 10.1140/epjc/s10052-019-6553-6

[11]

Thermodynamic information geometry and complexity growth of a warped AdS black hole and the warped AdS $_3$ /CFT $_2$ correspondence

H. Dimov
(
- Sofiya U. and
- Dubna, JINR
)
,
R.C. Rashkov
(
- Sofiya U. and
- Vienna, Tech. U.
)
,
T. Vetsov
(
- Sofiya U. and
- Dubna, JINR
)

- Phys.Rev.D 99 (2019) 12, 126007
•
e-Print:
- 1902.02433
•
DOI:
- 10.1103/PhysRevD.99.126007

[12]

Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity

K. Kolev
(
- Sofiya U.
)
,
K. Staykov
(
- Sofiya U.
)
,
T. Vetsov
(
- Sofiya U. and
- Dubna, JINR
)

- Eur.Phys.J.C 79 (2019) 12, 1009
•
e-Print:
- 1907.10364
•
DOI:
- 10.1140/epjc/s10052-019-7522-9

[13]

Measuring Thermodynamic Length

Gavin E. Crooks

- Phys.Rev.Lett. 99 (2007) 10, 100602
•
DOI:
- 10.1103/PhysRevLett.99.100602

[14]

: Complex Physical, Biophysical and Econophysical Systems, pp. 283-317

R.K. Niven
,
B. Andresen