Momentum Fractionation on Superstrata

Abstract

Superstrata are bound states in string theory that carry D1, D5, and momentum charges, and whose supergravity descriptions are parameterized by arbitrary functions of (at least) two variables. In the D1-D5 CFT, typical three-charge states reside in high-degree twisted sectors, and their momentum charge is carried by modes that individually have fractional momentum. Understanding this momentum fractionation holographically is crucial for understanding typical black-hole microstates in this system. We use solution-generating techniques to add momentum to a multi-wound supertube and thereby construct the first examples of asymptotically-flat superstrata. The resulting supergravity solutions are horizonless and smooth up to well-understood orbifold singularities. Upon taking the AdS3 decoupling limit, our solutions are dual to CFT states with momentum fractionation. We give a precise proposal for these dual CFT states. Our construction establishes the very nontrivial fact that large classes of CFT states with momentum fractionation can be realized in the bulk as smooth horizonless supergravity solutions.

68 pages, v3: minor clarifications, typos corrected

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Cited by in corpus (63)

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• Supercharging Superstrata
• Superstratum Symbiosis
• Holomorphic Waves of Black Hole Microstructure
• Unitary 4-point correlators from classical geometries
• AdS${}_2$ Holography: Mind the Cap
• Thermal Decay without Information Loss in Horizonless Microstate Geometries
• Integrability and Black-Hole Microstate Geometries
• M-theory Superstrata and the MSW String
• The multipolar structure of fuzzballs
• Superstrata
• Correlators at large c without information loss
• String Theory of Supertubes
• Little Strings, Long Strings, and Fuzzballs
• AdS${}_3$ Holography at Dimension Two
• String dynamics in NS5-F1-P geometries
• Stringy Structure at the BPS Bound
• A systematic construction of microstate geometries with low angular momentum
• Tidal Stresses and Energy Gaps in Microstate Geometries
• Chaos at the rim of black hole and fuzzball shadows
• Supercharged AdS${}_3$ Holography
• The dark side of fuzzball geometries
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• Lifting at higher levels in the D1D5 CFT
• Probing Fuzzballs with Particles, Waves and Strings
• Counting Superstrata
• The Great Escape: Tunneling out of Microstate Geometries
• Operator mixing in deformed D1D5 CFT and the OPE on the cover
• Non-BPS Floating Branes and Bubbling Geometries
• More on microstate geometries of 4d black holes
• On the BPS sector in AdS_3/CFT_2 Holography
• Black hole microstates from the worldsheet
• New Superstrata from Three-Dimensional Supergravity
• Delaying the Inevitable: Tidal Disruption in Microstate Geometries
• Two Kissing Bolts
• Non-BPS Bubbling Geometries in AdS${}_3$
• The fuzzball nature of two-charge black hole microstates
• Light rings of five-dimensional geometries
• Highly Excited Strings I: Generating Function
• Shockwaves in black hole microstate geometries
• Solitonic Excitations in AdS2
• The Structure of BPS Equations for Ambi-polar Microstate Geometries
• The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry
• D1-D5-P superstrata in 5 and 6 dimensions: separable wave equations and prepotentials
• Non-extremal superdescendants of the D1D5 CFT
• Lectures on Microstate Geometries
• Microstate geometries at a generic point in moduli space
• Linearizing the BPS Equations with Vector and Tensor Multiplets
• The Dual of a Tidal Force in the D1D5 CFT
• Non-Abelian Supertubes
• Multi-center Superstrata
• Hair on non-extremal D1-D5 bound states
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• Superstrata on Orbifolded Backgrounds
• Gravitational Atoms from Topological Stars
• Real-Time Holography and Hybrid WKB for BTZ Wormholes
• BPS equations and Non-trivial Compactifications
• Evolutionary algorithms for multi-center solutions
• Elliptical and Purely NS Superstrata
• Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries