Large N vector quantum mechanics and bubbling supertube solutions

TL;DR

This paper introduces a large N vector quantum mechanics model for D-particles in bubbling supertube backgrounds, matching the D-particle action and angular momentum properties in a specific limit.

Contribution

It develops a novel quantum mechanics framework that describes D-particles in bubbling supertube solutions and matches known D-particle dynamics in a decoupling limit.

Findings

Effective action matches D-particle action up to quadratic velocity terms

Reproduces D-particle angular momentum including Poynting vector contribution

Provides a new theoretical tool for studying D-particles in complex backgrounds

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.