Bubbles on Manifolds with a U(1) Isometry

Understand

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.