D1-D5-P superstrata in 5 and 6 dimensions: separable wave equations and prepotentials

Abstract

We construct the most general single-mode superstrata in 5 dimensions with ambipolar, two centered Gibbons Hawking bases, via dimensional reduction of superstrata in 6 dimensions. Previously, asymptotically ${\text{AdS}}_3\times {\mathbb{S}}^2$ 5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically ${\text{AdS}}_2\times {\mathbb{S}}^3$ geometries as well, the first instances of superstrata describing the microstate geometries of black holes in 5 dimensions. New examples of superstrata with separable massless wave equations in both 5 and 6 dimensions are uncovered. A ${\mathbb{Z}}_2$ symmetry which identifies distinct 6-dimensional superstrata when reduced to 5 dimensions is found. Finally we use the mathematical structure of the underlying hyper-Kähler bases to produce prepotentials for the superstrata fluxes in 5 dimensions and uplift them to apply in 6 dimensions as well.

arXiv comment29 pages, 3 tables

References in corpus (23)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Supergravity Microstates for BPS Black Holes and Black Rings
• Bubbling Supertubes and Foaming Black Holes
• Smooth horizonless geometries deep inside the black-hole regime
• Habemus Superstratum! A constructive proof of the existence of superstrata
• Mergers and Typical Black Hole Microstates
• Asymptotically-flat supergravity solutions deep inside the black-hole regime
• Plumbing the Abyss: Black Ring Microstates
• Momentum Fractionation on Superstrata
• Double, Double Supertube Bubble
• Supercharging Superstrata
• Spectral Flow, and the Spectrum of Multi-Center Solutions
• A Critique of the Fuzzball Program
• AdS${}_2$ Holography: Mind the Cap
• M-theory Superstrata and the MSW String
• Integrability and Black-Hole Microstate Geometries
• AdS${}_3$ Holography at Dimension Two
• Tidal Stresses and Energy Gaps in Microstate Geometries
• Early Scrambling and Capped BTZ Geometries
• Doubly-Fluctuating BPS Solutions in Six Dimensions
• Coiffured Black Rings
• Three-charge superstrata with internal excitations
• The Structure of BPS Equations for Ambi-polar Microstate Geometries

Cited by in corpus (9)

• Holomorphic Waves of Black Hole Microstructure
• Fuzzballs and Observations
• Superstrata
• The Great Escape: Tunneling out of Microstate Geometries
• Microstate Geometries from Gauged Supergravity in Three Dimensions
• New Superstrata from Three-Dimensional Supergravity
• Linearizing the BPS Equations with Vector and Tensor Multiplets
• Holographic entanglement entropy and complexity of microstate geometries
• Separability in Consistent Truncations