Anti-de Sitter black hole thermodynamics in higher derivative gravity and new confining deconfining phases in dual CFT

By Shin'ichi Nojiri, Sergei D. Odintsov. 2001

162 citations recorded by the source corpus.

Abstract The thermodynamics of d5 AdS BHs with positive, negative or zero curvature spatial section in higher derivative (HD) gravity is described. HD contribution to free energy may change its sign which leads to more complicated regime for Hawking–Page phase transitions. Some variant of d5 HD gravity is dual to N =2 Sp(N) SCFT up to the next-to-leading order in large N. Then, according to Witten interpretation the stable AdS BH phase corresponds to deconfinement while global AdS phase corresponds to confinement. Unlike to Einstein gravity in HD theory the critical N appears. It may influence the phase transition structure. In particular, what was confining phase above the critical value becomes the deconfining phase below it and vice-versa.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fd099777c323033853f909dad5c5b52ba2e8d6a2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Causality in AdS/CFT and Lovelock theory (2009, background): “its entropy still satisfying the usual area law [32, 33, 34, 35]”
Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity (2009, background): “Thermodynamic properties of this black hole solution can be found in [33, 34, 35, 36] (and, in the special case λ = 1/4, in [37]; see also [38]).”
Smarr formula and an extended first law for Lovelock gravity (2010, methodology): “Similar analyses have been done for Gauss-Bonnet-AdS black holes [57, 58, 59, 60] using the known analytic solution [7, 8](5).”
Black holes in quasi-topological gravity (2010, background): “Schematically, the equation of motion coming from varying the lapse N takes the simple form [r4(· · · )]′ = 0 and so the metric function f is given by solving for the roots of a quadratic polynomial [42–46]:”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “[53] S.”