5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence

Abstract

We study rotating black holes in five dimensions using the nAdS${}_2$/nCFT${}_1$ correspondence. A consistent truncation of pure Einstein gravity (with a cosmological constant) in five dimensions to two dimensions gives a generalization of the Jackiw-Teitelboim theory that has two scalar fields: a dilaton and a squashing parameter that breaks spherical symmetry. The interplay between these two scalar fields is non trivial and leads to interesting new features. We study the holographic description of this theory and apply the results to the thermodynamics of the rotating black hole from a two dimensional point of view. This setup challenges notions of universality that have been advanced based on simpler models: we find that the mass gap of Kerr-AdS${}_5$ corresponds to an undetermined effective coupling in the nAdS${}_2$/nCFT${}_1$ theory which depends on ultraviolet data.

49 pages; v2 minor comments and references added; v3 fixed minor typos in eqs. (4.5) and (4.26)

References in corpus (20)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• On the Dynamics of Near-Extremal Black Holes
• All point correlation functions in SYK
• Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching
• Three Dimensional View of the SYK/AdS Duality
• Holographic renormalization as a canonical transformation
• Holographic Description of AdS_2 Black Holes
• Central Charge for AdS_2 Quantum Gravity
• Menagerie of AdS${}_2$ boundary conditions
• Chiral anomalies and AdS/CMT in two dimensions
• Holographic dual to charged SYK from 3D Gravity and Chern-Simons
• Towards a bulk description of higher spin SYK
• A nAttractor Mechanism for nAdS(2)/nCFT(1) Holography
• $Ad{S}_2$ dilaton gravity from reductions of some nonrelativistic theories
• Cosmological constant as confining U(1) charge in two-dimensional dilaton gravity
• Entropy functional and the holographic attractor mechanism
• Marginal Deformations and Rotating Horizons
• Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
• Symmetries, Holography and Quantum Phase Transition in Two-dimensional Dilaton AdS Gravity

Cited by in corpus (62)

• The statistical mechanics of near-extremal black holes
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• A universal Schwarzian sector in two-dimensional conformal field theories
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• On the Chaos Bound in Rotating Black Holes
• Gravity factorized
• Holographic Schwinger-Keldysh effective field theories
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• A note on the complex SYK model and warped CFTs
• Holographic drag force in 5d Kerr-AdS black hole
• A nAttractor Mechanism for nAdS(2)/nCFT(1) Holography
• Constructing AdS_2 flow geometries
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• On aspects of 2-dim dilaton gravity, dimensional reduction and holography
• Breaking away from the near horizon of extreme Kerr
• Near-Extremal Limits of de Sitter Black Holes
• Gravitational Cardy Limit and AdS Black Hole Entropy
• A One-Loop Test of the near-AdS${}_2$/near-CFT${}_1$ Correspondence
• Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
• Black Hole Spectroscopy and AdS${}_2$ Holography
• Gravitational perturbations from NHEK to Kerr
• Rotating Black Holes in AdS, Extremality and Chaos
• Rotating 5D Black Holes: Interactions and deformations near extremality
• From black holes to baby universes in CGHS gravity
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• The statistical mechanics of near-BPS black holes
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• The Scales of Black Holes with nAdS${}_2$ Geometry
• Eigenstate Thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
• Fast Scrambling due to Rotating Shockwaves in BTZ
• Extreme Black Hole Anabasis
• On $Ad{S}_2$ holography from redux, renormalization group flows and $c$-functions
• Chaos in Three-dimensional Higher Spin Gravity
• Fast Scrambling of Mutual Information in Kerr-AdS${}_4$
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation
• $Ad{S}_2$ holography and ModMax
• Near-Extremal Limits of Warped Black Holes
• $R^2$ corrected AdS${}_2$ holography
• Fast Scrambling of mutual information in Kerr-AdS${}_{\text{5}}$
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• The gravitational path integral for $N=4$ BPS black holes from black hole microstate counting
• How to Build a Black Hole out of Instantons
• Near-extremal dynamics away from the horizon
• Les Houches lectures on two-dimensional gravity and holography
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics
• JT gravity and near-extremal thermodynamics for Kerr black holes in $Ad{S}_{4,5}$ for rotating perturbations
• Thermodynamic law and holography dual of accelerating and rotating black hole in Nariai limit
• Quantum-Corrected Hawking Radiation from Near-Extremal Kerr-Newman Black Holes
• Observations on holographic aspects of four-dimensional asymptotically flat $\mathcal{N}=2$ black holes
• Thermodynamics of Near BPS Black Holes in AdS${}_4$ and AdS${}_7$
• Large Diffeomorphisms and Accidental Symmetry of the Extremal Horizon
• The landscape of complexity measures in 2D gravity
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes
• A simple model for Hawking radiation
• The quantum $p$-spin glass model: A user manual for holographers
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere
• Near-AdS${}_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N}=2$ 4D supergravity
• A note on the action with the Schwarzian at the stretched horizon