Habemus Superstratum! A constructive proof of the existence of superstrata

Abstract

We construct the first example of a superstratum: a class of smooth horizonless supergravity solutions that are parameterized by arbitrary continuous functions of (at least) two variables and have the same charges as the supersymmetric D1-D5-P black hole. We work in Type IIB string theory on T^4 or K3 and our solutions involve a subset of fields that can be described by a six-dimensional supergravity with two tensor multiplets. The solutions can thus be constructed using a linear structure, and we give an explicit recipe to start from a superposition of modes specified by an arbitrary function of two variables and impose regularity to obtain the full horizonless solutions in closed form. We also give the precise CFT description of these solutions and show that they are not dual to descendants of chiral primaries. They are thus much more general than all the known solutions whose CFT dual is precisely understood. Hence our construction represents a substantial step toward the ultimate goal of constructing the fully generic superstratum that can account for a finite fraction of the entropy of the three-charge black hole in the regime of parameters where the classical black hole solution exists.

arXiv comment55 pages, 5 figures

References in corpus (59)

• Black Holes: Complementarity or Firewalls?
• Cool horizons for entangled black holes
• The information paradox: A pedagogical introduction
• AdS3 Black Holes and a Stringy Exclusion Principle
• D--branes and Spinning Black Holes
• AdS/CFT duality and the black hole information paradox
• Better Late than Never: Information Retrieval from Black Holes
• An Apologia for Firewalls
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• The fuzzball proposal for black holes
• Supertubes
• Supergravity Microstates for BPS Black Holes and Black Rings
• 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
• Metric of the multiply wound rotating string
• Dual geometries for a set of 3-charge microstates
• All supersymmetric solutions of minimal supergravity in six dimensions
• Supergravity Supertubes
• 3-charge geometries and their CFT duals
• Compactification of D=11 supergravity on spaces of exceptional holonomy
• Black Holes as Effective Geometries
• Fuzzballs with internal excitations
• Global Structure of Five-dimensional BPS Fuzzballs
• Mergers and Typical Black Hole Microstates
• Constructing "hair" for the three charge hole
• Exotic Branes in String Theory
• Exotic branes and non-geometric backgrounds
• What is the gravity dual of a chiral primary?
• Holographic anatomy of fuzzballs
• A non-renormalization theorem for chiral primary 3-point functions
• Plumbing the Abyss: Black Ring Microstates
• The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
• Tensor and Vector Multiplets in Six-Dimensional Supergravity
• Comments on black holes I: The possibility of complementarity
• D1-D5-P microstates at the cap
• 6D microstate geometries from 10D structures
• Non-extremal Black Hole Microstates: Fuzzballs of Fire or Fuzzballs of Fuzz ?
• Supersymmetric Solutions in Six Dimensions: A Linear Structure
• Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity
• A bound on the entropy of supergravity?
• Unitarity and fuzzball complementarity: "Alice fuzzes but may not even know it!"
• Superdescendants of the D1D5 CFT and their dual 3-charge geometries
• Double, Double Supertube Bubble
• A class of BPS time-dependent 3-charge microstates from spectral flow
• New D1-D5-P geometries from string amplitudes
• The flaw in the firewall argument
• Adding momentum to supersymmetric geometries
• Moulting Black Holes
• Microstates at the boundary of AdS
• Black-Hole Entropy from Supergravity Superstrata States
• Oscillating supertubes and neutral rotating black hole microstates
• Doubly-Fluctuating BPS Solutions in Six Dimensions
• On the Oscillation of Species
• Adding new hair to the 3-charge black ring
• Perturbative 3-charge microstate geometries in six dimensions
• Perturbative superstrata
• Coiffured Black Rings
• Multi-Superthreads and Supersheets
• Bubbling the Newly Grown Black Ring Hair
• Corrugated Multi-Supersheets

Cited by in corpus (107)

• Smooth horizonless geometries deep inside the black-hole regime
• Asymptotically-flat supergravity solutions deep inside the black-hole regime
• Distinguishing fuzzballs from black holes through their multipolar structure
• Momentum Fractionation on Superstrata
• Black-hole microstate spectroscopy: ringdown, quasinormal modes, and echoes
• Superstratum Symbiosis
• Supercharging Superstrata
• Holographic description of non-supersymmetric orbifolded D1-D5-P solutions
• Holomorphic Waves of Black Hole Microstructure
• A Critique of the Fuzzball Program
• AdS${}_2$ Holography: Mind the Cap
• Unitary 4-point correlators from classical geometries
• Topological Stars and Black Holes
• Thermal Decay without Information Loss in Horizonless Microstate Geometries
• M-theory Superstrata and the MSW String
• Integrability and Black-Hole Microstate Geometries
• The multipolar structure of fuzzballs
• Superstrata
• Fuzzballs and Observations
• Correlators at large c without information loss
• String Theory of Supertubes
• Holographic correlators in AdS${}_3$ without Witten diagrams
• Little Strings, Long Strings, and Fuzzballs
• AdS${}_3$ Holography at Dimension Two
• Stringy Structure at the BPS Bound
• A systematic construction of microstate geometries with low angular momentum
• Early Scrambling and Capped BTZ Geometries
• Non-BPS multi-bubble microstate geometries
• Tidal Stresses and Energy Gaps in Microstate Geometries
• Chaos at the rim of black hole and fuzzball shadows
• Four-center bubbled BPS solutions with a Gibbons-Hawking base
• The Harder They Fall, the Bigger They Become: Tidal Trapping of Strings by Microstate Geometries
• Smooth Bubbling Geometries Without Supersymmetry
• Supercharged AdS${}_3$ Holography
• The dark side of fuzzball geometries
• Schwarzschild-like Topological Solitons
• Lifting at higher levels in the D1D5 CFT
• Probing Fuzzballs with Particles, Waves and Strings
• The Great Escape: Tunneling out of Microstate Geometries
• Counting Superstrata
• Bolting Multicenter Solutions
• Operator mixing in deformed D1D5 CFT and the OPE on the cover
• The Regge limit of AdS${}_3$ holographic correlators
• Model independent tests of the Kerr bound with extreme mass ratio inspirals
• Non-BPS Floating Branes and Bubbling Geometries
• More on microstate geometries of 4d black holes
• Hair-brane Ideas on the Horizon
• Microstate Geometries from Gauged Supergravity in Three Dimensions
• Black hole microstates from the worldsheet
• On the BPS sector in AdS_3/CFT_2 Holography
• BPS Chaos
• AdS${}_3$ four-point functions from $\frac{1}{8}$-BPS states
• Bubble Bag End: A Bubbly Resolution of Curvature Singularity
• New Superstrata from Three-Dimensional Supergravity
• Synthetic Fuzzballs: A Linear Ramp from Black Hole Normal Modes
• AdS${}_3$ holography for non-BPS geometries
• Stringy origin of 4d black hole microstates
• Two Kissing Bolts
• Delaying the Inevitable: Tidal Disruption in Microstate Geometries
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Non-BPS Bubbling Geometries in AdS${}_3$
• Stability of topological solitons, and black string to bubble transition
• Counting D1-D5-P Microstates in Supergravity
• Light rings of five-dimensional geometries
• What is the Simplest Linear Ramp?
• Three-charge superstrata with internal excitations
• BPS Solutions of Six-Dimensional (1,0) Supergravity Coupled to Tensor Multiplets
• Global half-BPS $Ad{S}_2\times S^6$ solutions in Type IIB
• Resolving Black-Hole Microstructure with New Momentum Carriers
• Toroidal Tidal Effects in Microstate Geometries
• The (amazing) Super-Maze
• Solitonic Excitations in AdS2
• Shockwaves in black hole microstate geometries
• The Structure of BPS Equations for Ambi-polar Microstate Geometries
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
• Bosonization, cocycles, and the D1-D5 CFT on the covering surface
• D1-D5-P superstrata in 5 and 6 dimensions: separable wave equations and prepotentials
• The full space of BPS multicenter states with pure D-brane charges
• Non-extremal superdescendants of the D1D5 CFT
• Corrections in the relative entropy of black hole microstates
• Black Holes and the Swampland: the Deep Throat revelations
• Microstate geometries at a generic point in moduli space
• Linearizing the BPS Equations with Vector and Tensor Multiplets
• Bubbling the NHEK
• The Dual of a Tidal Force in the D1D5 CFT
• Half the Schwarzschild Entropy from Strominger-Vafa Black Holes
• Supersymmetry and Wrapped Branes in Microstate Geometries
• Non-Abelian Supertubes
• Multi-center Superstrata
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Hair on non-extremal D1-D5 bound states
• Superstrata on Orbifolded Backgrounds
• Counting atypical black hole microstates from entanglement wedges
• Gravitational Atoms from Topological Stars
• Instabilities of microstate geometries with antibranes
• Holographic entanglement entropy and complexity of microstate geometries
• Information recovery from pure state geometries in 3D
• Precision holography of AdS${}_5$ bubbling geometries
• Probing Black Hole Microstate Evolution with Networks and Random Walks
• BPS equations and Non-trivial Compactifications
• Real-Time Holography and Hybrid WKB for BTZ Wormholes
• Evolutionary algorithms for multi-center solutions
• Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries
• Elliptical and Purely NS Superstrata
• Exact Non-Abelian Supertubes