Three-Charge Supertubes in a Rotating Black Hole Background

TL;DR

This paper extends the analysis of supertube-black hole interactions to three-charge configurations, revealing critical angular momentum thresholds for mergers and establishing correspondence between different descriptions.

Contribution

It introduces the study of three-charge supertubes in black hole backgrounds, analyzing angular momentum effects and dynamical mergers.

Findings

Existence of a critical angular momentum threshold for supertube mergers.

Established correspondence between worldvolume and supergravity descriptions.

Discussed implications of dynamical mergers.

Abstract

The low velocity scattering of a D0-F1 supertube in the background of a BMPV black hole has been investigated in the moduli space approximation by Marolf and Virmani. Here we extend the analysis to the case of the D0-D4-F1 supertube of Bena and Kraus. We find that, similarly to the two-charge case, there is a critical value of the supertube circumferential angular momentum; above this value an adiabatic merger with the black hole cannot occur. By reconsidering the calculation of supertube angular momentum in the transverse direction, correspondence between the worldvolume and supergravity descriptions is established. We also examine dynamical mergers and discuss their implications.