Large N Phases, Gravitational Instantons and the Nuts and Bolts of AdS Holography

Abstract

Recent results in the literature concerning holography indicate that the thermodynamics of quantum gravity (at least with a negative cosmological constant) can be modeled by the large N thermodynamics of quantum field theory. We emphasize that this suggests a completely unitary evolution of processes in quantum gravity, including black hole formation and decay; and even more extreme examples involving topology change. As concrete examples which show that this correspondence holds even when the space-time is only locally asymptotically AdS, we compute the thermodynamical phase structure of the AdS-Taub-NUT and AdS-Taub-Bolt spacetimes, and compare them to a 2+1 dimensional conformal field theory (at large N) compactified on a squashed three sphere, and on the twisted plane.

20 pages, three figures. (uses harvmac.tex and epsf.tex)

References in corpus (9)

• Gauge Theory Correlators from Non-Critical String Theory
• Black holes with unusual topology
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• The Action of Instantons with Nut Charge
• Rotational Invariance in the M(atrix) Formulation of Type IIB Theory
• AdS Membranes Wrapped on Surfaces of Arbitrary Genus
• Loss of quantum coherence through scattering off virtual black holes
• Holography Principle and Topology Change in String Theory
• Wrapping Branes in Space and Time

Cited by in corpus (128)

• Large N Field Theories, String Theory and Gravity
• Charged AdS Black Holes and Catastrophic Holography
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Tunnelling, Temperature and Taub-NUT Black Holes
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Misner String Entropy
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• Nut Charge, Anti-de Sitter Space and Entropy
• Black holes, hidden symmetries, and complete integrability
• Thermodynamics of Accelerating Black Holes
• P-V Criticality in Quasitopological Gravity
• Entropy of Rotating Misner String Spacetimes
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Thermodynamics of Lorentzian Taub-NUT spacetimes
• Nut Charged Space-times and Closed Timelike Curves on the Boundary
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Janis-Newman algorithm: generating rotating and NUT charged black holes
• DC Conductivity of Magnetised Holographic Matter
• The gravity dual of supersymmetric gauge theories on a biaxially squashed three-sphere
• NUT-Charged Black Holes in Gauss-Bonnet Gravity
• A Bestiary of Higher Dimensional Taub-NUT-AdS Spacetimes
• The supersymmetric NUTs and bolts of holography
• Surface counterterms and boundary stress-energy tensors for asymptotically non-anti-de Sitter spaces
• Localization of the action in AdS/CFT
• Stability in Asymptotically AdS Spaces
• Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity
• Supersymmetric Domain Walls from Metrics of Special Holonomy
• Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
• Thermodynamic Volumes for AdS-Taub-NUT and AdS-Taub-Bolt
• Mass and Thermodynamic Volume in Lifshitz Spacetimes
• The First Law for Rotating NUTs
• Universality of squashed-sphere partition functions
• The Extended Thermodynamic Phase Structure of Taub-NUT and Taub-Bolt
• Einstein-Gauss-Bonnet metrics: black holes, black strings and a staticity theorem
• NUTs and bolts beyond Lovelock
• Nuttier (A)dS Black Holes in Higher Dimensions
• Breakdown of the Entropy/Area Relationship for NUT-charged Spacetimes
• On the Thermodynamics of NUT charged spaces
• New Multiply Nutty Spacetimes
• Higher Dimensional Taub-NUTs and Taub-Bolts in Einstein-Maxwell Gravity
• Topological Terms and the Misner String Entropy
• The Cardy-Verlinde Formula and Taub-Bolt-AdS Spacetimes
• Metric-based Hamiltonians, null boundaries, and isolated horizons
• Vacua of N=2 gauged supergravity derived from non-homogeneous quaternionic spaces
• On the gravitational energy of the Kaluza Klein monopole
• Nonlinear extensions of gravitating dyons: from NUT wormholes to Taub-Bolt instantons
• Comments on Squashed-sphere Partition Functions
• New Taub-NUT-Reissner-Nordström spaces in higher dimensions
• A Microscopic Description of Thermodynamic Volume in Extended Black Hole Thermodynamics
• Single-sided domain walls in M-theory
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• The O(N) model on a squashed S^3 and the Klebanov-Polyakov correspondence
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
• Using 3D Stringy Gravity to Understand the Thurston Conjecture
• Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and Nonsymmetric Metrics
• Lorentzian Taub-NUT spacetimes: Misner string charges and the first law
• The First Law for the Lorentzian Rotating Taub-NUT
• Taub-Bolt Heat Engines
• Nutty Bubbles
• Holographic Complexity and Charged Scalar Fields
• The Disjointed Thermodynamics of Rotating Black Holes With a NUT Twist
• Holography and Quaternionic Taub-NUT
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• New Reducible Membrane Solutions in D=11 Supergravity
• Overcharging a Reissner-Nordström Taub-NUT regular black hole
• From black strings to black holes: nuttier and squashed AdS${}_5$ solutions
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Fermions Tunneling from Plebanski-Demianski Black Holes
• Deciphering and generalizing Demianski-Janis-Newman algorithm
• Gravitating nonabelian solutions with NUT charge
• Quantum effects in a rotating spacetime
• Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
• Aspects of Holography of Taub-NUT-AdS4
• Thermodynamics of Dyonic NUT Charged Black Holes with Entropy as Noether Charge
• Squashed, magnetized black holes in $D=5$ minimal gauged supergravity
• On Horizons and Plane Waves
• Fragile Black Holes
• Topological dyonic Taub-Bolt/NUT-AdS: Thermodynamics and first law
• A Conformally Invariant Holographic Two-Point Function on the Berger Sphere
• Cosmological solutions in five dimensional Einstein-Maxwell-dilaton theory
• Conserved Charges in Even Dimensional Asymptotically locally Anti-de Sitter Space-times
• Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet Gravity
• Barbero-Immirzi parameter, manifold invariants and Euclidean path integrals
• Squashed Holography with Scalar Condensates
• Einstein Manifolds As Yang-Mills Instantons
• Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
• Cardy-Verlinde Formula in Taub-NUT/Bolt-(A)dS space
• Canonical Phase Space Formulation of Quasilocal General Relativity
• Hawking radiation of scalars from charged accelerating and rotating black holes with NUT parameter
• Attempts at vacuum counterexamples to cosmic censorship in AdS
• Higher dimensional Kaluza-Klein Monopoles
• The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces
• Ultraspinning limits and rotating hyperboloid membranes
• Immirzi parameter and Noether charges in first order gravity
• AdS Taub-Nut Space and the O(N) Vector Model on a Squashed 3-Sphere
• Classical Boundary-value Problem in Riemannian Quantum Gravity and Taub-Bolt-anti-de Sitter Geometries
• Area (or entropy) products for Newman-Unti-Tamburino class of Black Holes
• Nut-charged black holes in matter-coupled N=2, D=4 gauged supergravity
• Analog Particle Production Model for General Classes of Taub-NUT Black Holes
• Quasinormal modes of NUT-charged black branes in the AdS/CFT correspondence
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• Energy Formula for Newman-Unti-Tamburino class of Black Holes
• Deformed BF theory as a theory of gravity and supergravity
• Deformed and twisted black holes with NUTs
• Hawking Non-thermal and Thermal Radiations of Schwarzschild Anti-de Sitter Black Hole by Hamilton-Jacobi method
• All extremal instantons in Einstein-Maxwell-dilaton-axion theory
• Microscopics of de Sitter Entropy from Precision Holography
• On the NUT-Born-Infeld-$\Lambda$ spacetime
• Semi-classical stability of AdS NUT instantons
• Dyonic Taub-NUT-AdS: Unconstraint Thermodynamics and Phase Structure
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Holographic RG flows on Squashed $S^3$
• $\mathbb{C}{P}^2$ and $\mathbb{C}{P}^1$ Sigma Models in Supergravity: Bianchi type IX Instantons and Cosmologies
• Holographic RG flow triggered by a classically marginal operator
• The Nuts and Bolts of Brane Resolution
• 3-dimensional holographic trace anomaly from AdS/CFT correspondence
• Dyonic Taub-NUT-AdS Spaces: Phase Structures of all Horizon Geometries
• Harmonic forms on asymptotically AdS metrics
• The entropy of Taub-Bolt-AdS from an improved action principle
• Bach-Flat Kaehler Surfaces
• Manifold invariants affect dynamics in ADS gravity
• Brane Resolution Through Fibration
• Entropy Product Formula for Gravitational Instanton
• Partition functions on squashed seven-spheres and holography
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity
• Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams
• Bekenstein-Hawking Entropy Products for NUT class of Black Holes in AdS Space
• Kac-Moody Algebras on Soft Group Manifolds