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

• Published in: The journal of high energy physics Vol. 2019; no. 9; pp. 1 - 30
• Main Author: Walker, Robert
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019; Springer Nature B.V; Springer Berlin; SpringerOpen
• Subjects: AdS-CFT Correspondence; ASTRONOMY AND ASTROPHYSICS; Asymptotic properties; Black Holes in String Theory; Classical and Quantum Gravitation; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Elementary Particles; Fluxes; High energy physics; Mathematical analysis; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Uplift; Wave equations; Black Holes in String Theory; AdS-CFT Correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2019)117

A bstract 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 AdS 3 × 𝕊 2 5-dimensional superstrata have been produced, giving microstate geometries of black strings in 5 dimensions. Our construction produces asymptotically AdS 2 × 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 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.