Large N vector quantum mechanics and bubbling supertube solutions

Abstract

We propose a large N vector quantum mechanics as the theory describing a D-particle probe in bubbling supertube solutions. We compute the effective action of this quantum mechanics and show that it coincides with the D-particle action in a certain decoupling limit, up to quadratic order in the velocity. The angular momentum of the D-particle, including the contribution of the Poynting vector, is reproduced as the vacuum expectation value of the SU(2)_R current.

17pages, PTPTeX; v2: added references; v3: changed TeX style, added references; v4: minor corrections, added reference