AdS3 Black Holes and a Stringy Exclusion Principle

Abstract

The duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2,R) invariant vacuum on AdS3 corresponds to the NS-NS vacuum of the conformal field theory. The effect of the orbifolding is to produce a density matrix, the temperature and entropy of which coincide with the black hole. For string theory examples the spectrum of chiral primaries agrees with the spectrum of multi-particle BPS states for particle numbers less than of order the central charge. An upper bound on the BPS particle number follows from the upper bound on the U(1) charge of chiral primaries. This is a stringy exclusion principle which cannot be seen in perturbation theory about AdS3.

24 pages, harvmac. References added

Cited by in corpus (568)

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• Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
• AdS_3/CFT_2 correspondence at finite temperature
• $\mathcal{N}=(3,3)$ holography on ${\mathrm{AdS}}_3\times ({\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1)/{\mathbb{Z}}_2$
• The Fuzzy S^4 by Quantum Deformation
• Black hole collision with a scalar particle in three dimensional anti-de Sitter spacetime
• Black hole remnant in asymptotic Anti-de Sitter space
• Fortuity and Supergravity
• Giant Gravitons in type IIA PP-wave Background
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Unitarity constraints on the ratio of shear viscosity to entropy density in higher derivative gravity
• Novel charges in CFT's
• Rademacher Sums and Rademacher Series
• Chronology protection and the stringy exclusion principle
• Ryu-Takayanagi Formula for Multi-Boundary Black Holes from 2D Large-$c$ CFT Ensemble
• Strings on Plane Waves, Super-Yang Mills in Four Dimensions, Quantum Groups at Roots of One
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Symmetries of the refined D1/D5 BPS spectrum
• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
• Four-dimensional anti-de Sitter black holes from a three-dimensional perspective: Full complexity
• String Theory on AdS_3/Z_N
• (p,q)-Five Brane and (p,q)-String Solutions, their Bound State and its Near Horizon Limit
• Lectures on the Microscopic Modeling of the 5-dim. Black Hole of IIB String Theory and the $D_1-D_5$ System
• Holography and Riemann Surfaces
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$
• String Scale Thermal Anti-de Sitter Spaces
• S^2 x S^3 geometries in ABJM and giant gravitons
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• When UV and IR Collide: Inequivalent CFTs From Different Foliations Of AdS
• Hair on non-extremal D1-D5 bound states
• String Theory and Black Holes
• Wormholes and surface defects in rational ensemble holography
• Long Strings and Quasinormal Winding Modes
• Superstrata on Orbifolded Backgrounds
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Black Holes, Holography and Moduli Space Metric
• Propagation of a scalar field with non-minimal coupling in three dimensions: Hawking radiation and Quasinormal modes
• Nonstatic AdS_2 Branes and the Isometry Group of AdS_3 Spacetime
• S-duality and a large N phase transition in N=4 SYM on K3 at strong coupling
• Strings from 3D gravity: asymptotic dynamics of AdS${}_3$ gravity with free boundary conditions
• Central charges from Thermodynamics method in 3D gravity
• Strings on Plane Waves and AdS x S
• Everything You Always Wanted to Know About How Causal Set Theory Can Help with Open Questions in Cosmology, but Were Afraid to Ask
• Black holes and thermodynamics of non-gravitational theories
• Linear gravity from conformal symmetry
• Generalized Kloosterman Sums from M2-branes
• Singularities, geodesics and Green functions in the BTZ black hole
• Statistical entropy of two-dimensional dilaton de Sitter space
• A finite cutoff on the string worldsheet?
• Matrix Model For Polyakov Loops, String Field Theory In The Temporal Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory Of D-branes
• Quantum Modular $\hat{Z}{}^G$-Invariants
• Quantum Anti-de Sitter space and sphere at roots of unity
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Probing holography in $p$-adic CFT
• Metastability and instability in holographic gauge theories
• Exact Half-BPS Black Hole Entropies in CHL Models from Rademacher Series
• On Modular Invariance and 3D Gravitational Instantons
• N=4 SYM on K3 and the AdS(3)/CFT(2) Correspondence
• Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3
• Limitations of holography
• Perturbations and Supersymmetries in AdS_3/CFT_2
• String theory in twistor space and minimal tension holography
• Dielectric branes in non-trivial backgrounds
• The topologically twisted index of $\mathcal{N}=4$ SU($N$) Super-Yang-Mills theory and a black hole Farey tail
• W Algebras from AdS/CFT Correspondence
• Gravitational waves of nonextremal Kerr black holes from conformal symmetry
• Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism
• Black Hole entropy in D=2+1 dimensions from extended Chern-Simons term in a gravitational background
• Warp products and (2+1) dimensional spacetimes
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• Asymptotic dynamics of three-dimensional gravity
• Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
• The Spectrum of Static Subtracted Geometries
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• A New Supersymmetry Index for the D1-D5 CFT
• Three Dimensional Gravity and Schramm-Loewner Evolution
• Comment on Counting Black Hole Microstates Using String Dualities
• Global gravitational anomalies and transport
• Exact holography and black hole entropy in N=8 and N=4 string theory
• Some remarks on the free fields realization of the bosonic string on AdS3
• Warped CFT duals of the Plebański-Demiański family of solutions
• A Universal Behavior of Half BPS Probes in the Superstar Ensemble
• The integrability of Virasoro charges for axisymmetric Killing horizons
• The Resolved Elliptic Genus and the D1-D5 CFT
• Duality and Combinatorics of Long Strings in ADS3
• Point Mass Geometries, Spectral Flow and AdS_3-CFT_2 Correspondence
• The scientific work of Sonia Stanciu
• Quantum Information Approaches to Quantum Gravity
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Quantum information measures and their applications in quantum field theory
• Geometrical and hydrodynamic aspects of five-dimensional Schwarzschild black hole
• Teichmüller parameters for multiple BTZ black hole spacetime
• Entropy product of rotating black holes in three-dimensions
• Adding magnetic flux to the baryon vertex
• Exact chiral ring of AdS(3)/CFT(2)
• Conformal Transformations, Rotating String and Effects of angular velocity on Accelerating Quark-Antiquark pair in $Ad{S}_3$
• Winding modes and the reflection symmetry in AdS${}_3$
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• $sl(2,\mathds{C})\times D$ symmetry and conformal primary basis for massless fields
• Charged Particle-like Branes in ABJM: A Summary