Ruppeiner curvature along a renormalization group flow
arXiv:2007.11515 · doi:10.1016/j.physletb.2021.136450
Abstract
We report on an investigation of Ruppeiner curvature for -dimensional hyperbolic black holes in anti-de Sitter spacetimes and its connection with Renormalization Group (RG) flows in the dual d-dimensional conformal field theories (CFTs) in Minkowski spacetimes. A repulsive type interaction among microstructures is found, which is weaker for positive mass black holes and grows stronger for negative mass black holes at low temperatures. In particular, we show that evaluated along a zero mass curve is a universal constant, depending only on the dimension of space-time. The extremal black holes are pointed out to have a positive Ruppeiner curvature irrespective of their horizon topology.
arXiv commentv3:6 pages,3 figures; substantially revised version, to appear in PLB
References in corpus (54)
- Gauge Theory Correlators from Non-Critical String Theory
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Microscopic Origin of the Bekenstein-Hawking Entropy
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Enthalpy and the Mechanics of AdS Black Holes
- Towards a derivation of holographic entanglement entropy
- Black hole chemistry: thermodynamics with Lambda
- Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
- D-brane Approach to Black Hole Quantum Mechanics
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- The cosmological constant and the black hole equation of state
- Holographic c-theorems in arbitrary dimensions
- AdS/CFT duality and the black hole information paradox
- Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
- Topological Black Holes in Anti-de Sitter Space
- A finite entanglement entropy and the c-theorem
- On the RG running of the entanglement entropy of a circle
- Seeing a c-theorem with holography
- Black holes with unusual topology
- Counting States of Near-Extremal Black Holes
- Holographic Heat Engines
- Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
- Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
- Statistical Entropy of Four-Dimensional Extremal Black Holes
- Pair Production of Topological anti de Sitter Black Holes
- Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
- Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
- AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States
- Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
- New Vacua of Gauged N=8 Supergravity
- The large D limit of General Relativity
- Thermodynamic Curvature of the BTZ Black Hole
- Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
- Markov property of the CFT vacuum and the a-theorem
- Microstates of a Neutral Black Hole in M Theory
- N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity
- Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes
- Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole
- New N=1 Superconformal Field Theories and their Supergravity Description
- A membrane paradigm at large D
- Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
- AdS Membranes Wrapped on Surfaces of Arbitrary Genus
- Thermodynamics and Stability of Hyperbolic Charged Black Holes
- Novel dual relation and constant in Hawking-Page phase transitions
- Holographic Heat Engines, Entanglement Entropy, and Renormalization Group Flow
- The first laws of thermodynamics of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes
- Repulsive Interactions in the Microstructure of Regular Hayward Black Hole in Anti-de Sitter Spacetime
- Stringy Generalization of the First Law of Thermodynamics for Rotating BTZ Black Hole with a Cosmological Constant as State Parameter
- Renormalization Group Flows from Holography--Supersymmetry and a c-Theorem
- Universal criticality of thermodynamic curvatures for charged AdS black holes
- Physical Generalizations of the Renyi Entropy
- Testing the microstructure of -dimensional charged Gauss-Bonnet anti-de Sitter black holes
Cited by in corpus (10)
- Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
- Thermal Fluctuations Evolution of the New Schwarzschild Black Hole
- Black Hole Chemistry: the first 15 years
- Novel relations in massive gravity at Hawking-Page transition
- QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes
- Thermodynamics curvature in phase transitions for AdS black hole
- Thermodynamic Geometry of Black Holes Enclosed by a Cavity in Extended Phase Space
- Static spheres and Aschenbach effect for black holes in massive gravity
- Microstructure of Charged AdS Black Hole with Minimal Length Effects
- Topological charge and black hole photon spheres in massive gravity