Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity

Understand

We discuss two ways in which one can study two-charge supertubes as components of generic three-charge, three-dipole charge supergravity solutions.

• The first is using the Born-Infeld action of the supertubes, and the second is via the complete supergravity solution.
• Even though the Born-Infeld description is only a probe approximation, we find that it gives exactly the same essential physics as the complete supergravity solution.
• Since supertubes can depend on arbitrary functions, our analysis strengthens the evidence for the existence of three-charge black-hole microstate geometries that depend on an infinite set of parameters, and sets the stage for the computation of the entropy of these backgrounds.