Bubbles on Manifolds with a U(1) Isometry

Details Bubbles on Manifolds with a U(1) Isometry Bubbles on Manifolds with a U(1) Isometry

2007-05-24

arxiv.org/abs/0705.3641v2

JHEP 0708:004,2007

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 5 figures, LaTeX; references added

Scientific paper

10.1088/1126-6708/2007/08/004

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.

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