Exploring the relation between 4D and 5D BPS solutions

Abstract

Based on recent proposals linking four and five-dimensional BPS solutions, we discuss the explicit dictionary between general stationary 4D and 5D supersymmetric solutions in N=2 supergravity theories with cubic prepotentials. All these solutions are completely determined in terms of the same set of harmonic functions and the same set of attractor equations. As an example, we discuss black holes and black rings in Gödel-Taub-NUT spacetime. Then we consider corrections to the 4D solutions associated with more general prepotentials and comment on analogous corrections on the 5D side.

33 pages; refs added

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Cited by in corpus (55)

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• First-order flow equations for extremal black holes in very special geometry
• Black hole bound states in AdS_3 x S^2
• String Theory Effects on Five-Dimensional Black Hole Physics
• Almost BPS black holes
• 5D Black Holes and Strings with Higher Derivatives
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• Gluing gravitational blocks for AdS black holes
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• Superconformal indices at large $N$ and the entropy of AdS${}_5$ $\times$ SE${}_5$ black holes
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• 4d/5d Correspondence for the Black Hole Potential and its Critical Points
• Rotating multi-charge spindles and their microstates
• Corrections to the statistical entropy of five dimensional black holes
• The off-shell 4D/5D connection
• Near-horizon analysis of D=5 BPS black holes and rings
• Anomalies, Black strings and the charged Cardy formula
• First-order flows and stabilisation equations for non-BPS extremal black holes
• Spinning Strings as Small Black Rings
• Precision Microstate Counting of Small Black Rings
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• Entropy function for rotating extremal black holes in very special geometry
• Microstates of rotating AdS${}_5$ strings
• Comments on Charges and Near-Horizon Data of Black Rings
• Dimensional reduction of BPS attractors in AdS gauged supergravities
• Exact charges from heterotic black holes
• 6d-5d-4d reduction of BPS attractors in flat gauged supergravities
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• Supersymmetric black holes in string theory
• Black String Entropy and Fourier-Mukai Transform
• Black hole microstates and supersymmetric localization
• Near-horizon microstates of the D1-D5-P black hole
• Special Geometry, Hessian Structures and Applications
• alpha'-corrections and heterotic black holes
• Entropy Maximization in the Presence of Higher-Curvature Interactions
• 5D fuzzball geometries and 4D polar states
• Attractors and first order formalism in five dimensions revisited
• Supergravity on an Atiyah-Hitchin Base
• The gravitational index of 5d black holes and black strings
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• The Spectra of Supersymmetric States in String Theory
• A classification of supersymmetric Kaluza-Klein black holes with a single axial symmetry
• Hidden Structures of Black Holes
• A twist on multicenter AdS${}_2$ solutions
• More Bubbling Solutions
• A comment on 4d and 5d BPS states
• Supersymmetric Branes in Generic M-Theory Attractor Geometries
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Large N vector quantum mechanics and bubbling supertube solutions
• Black Holes and Rings of minimal 5-dim. Supergravity
• Exact Solutions and Black Hole Stability in Higher Dimensional Supergravity Theories