Bubbles on Manifolds with a U(1) Isometry
arXiv:0705.3641 · doi:10.1088/1126-6708/2007/08/004
Abstract
We investigate the construction of five-dimensional, three-charge supergravity solutions that only have a rotational U(1) isometry. We show that such solutions can be obtained as warped compactifications with a singular ambi-polar hyper-Kahler base space and singular warp factors. We show that the complete solution is regular around the critical surface of the ambi-polar base. We illustrate this by presenting the explicit form of the most general supersymmetric solutions that can be obtained from an Atiyah-Hitchin base space and its ambi-polar generalizations. We make a parallel analysis using an ambi-polar generalization of the Eguchi-Hanson base space metric. We also show how the bubbling procedure applied to the ambi-polar Eguchi-Hanson metric can convert it to a global AdS_2xS^3 compactification.
33 pages, 5 figures, LaTeX; references added
References in corpus (34)
- Supergravity and a Confining Gauge Theory: Duality Cascades and SB-Resolution of Naked Singularities
- The fuzzball proposal for black holes: an elementary review
- All supersymmetric solutions of minimal supergravity in five dimensions
- Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
- Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
- Supergravity flows and D-brane stability
- General supersymmetric AdS5 black holes
- A supersymmetric black ring
- Supergravity Microstates for BPS Black Holes and Black Rings
- Exact solutions for supersymmetric stationary black hole composites
- Bubbling Supertubes and Foaming Black Holes
- General Concentric Black Rings
- Supersymmetric black rings and three-charge supertubes
- Quantum Quivers and Hall/Hole Halos
- Mergers and Typical Black Hole Microstates
- Black Rings in Taub-NUT
- Four Dimensional Black Hole Microstates: From D-branes to Spacetime Foam
- Geometry of D1-D5-P bound states
- The quantum structure of black holes
- Three Charge Supertubes and Black Hole Hair
- Supersymmetric 4D Rotating Black Holes from 5D Black Rings
- Dying Dyons Don't Count
- D1-D5 black hole microstate counting from supergravity
- Smooth geometries with four charges in four dimensions
- Splitting hairs of the three charge black hole
- Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets
- 5D Black Rings and 4D Black Holes
- Microstates of the D1-D5-KK System
- The Foaming Three-Charge Black Hole
- A class of BPS time-dependent 3-charge microstates from spectral flow
- Toda fields of SO(3) hyper-Kahler metrics and free field realizations
- Orientifolds and Slumps in G_2 and Spin(7) Metrics
- Black Rings with Varying Charge Density
- Sliding Rings and Spinning Holes
Cited by in corpus (41)
- The fuzzball proposal for black holes
- Deforming the D1D5 CFT away from the orbifold point
- Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity
- Correlations in Hawking radiation and the infall problem
- Non-supersymmetric microstates of the D1-D5-KK system
- Excitations in the deformed D1D5 CFT
- Spectral Flow, and the Spectrum of Multi-Center Solutions
- Black Holes and Beyond
- The information paradox and the infall problem
- AdS Holography: Mind the Cap
- Modave Lectures on Fuzzballs and Emission from the D1-D5 System
- Non-extremal fuzzballs and ergoregion emission
- Quantum Resonant Leptogenesis and Minimal Lepton Flavour Violation
- The information paradox: conflicts and resolutions
- The Nuts and Bolts of Einstein-Maxwell Solutions
- On a family of -corrected solutions of the Heterotic Superstring effective action
- Analyzing the squeezed state generated by a twist deformation
- What the information paradox is {\it not}
- Hair in the Back of a Throat: Non-Supersymmetric Multi-Center Solutions from Kähler Manifolds
- Casas-Ibarra Parametrization and Unflavored Leptogenesis
- Black holes and holography
- New Supersymmetric Bubbles on AdS_3xS^3
- Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory
- Solitonic Excitations in AdS2
- Compact supersymmetric solutions of the heterotic equations of motion in dimension 5
- Atiyah-Hitchin in Five Dimensional Einstein-Maxwell Theory
- Supergravity Solutions Without Tri-holomorphic U(1) Isometries
- 5D fuzzball geometries and 4D polar states
- Cosmological Solutions in Five Dimensional Minimal Supergravity
- Supersymmetric black holes with a single axial symmetry in five dimensions
- Lectures on Microstate Geometries
- Supergravity on an Atiyah-Hitchin Base
- Linearizing the BPS Equations with Vector and Tensor Multiplets
- Heterotic Hyper-Kahler Flux Backgrounds
- Unlocking the Axion-Dilaton in 5D Supergravity
- Hidden Structures of Black Holes
- A twist on multicenter AdS solutions
- Atiyah-Hitchin in Five Dimensional Einstein-Gauss-Bonnet Gravity
- Unwinding of strings thrown into a fuzzball
- Black Ring Deconstruction
- Exact Solutions and Black Hole Stability in Higher Dimensional Supergravity Theories