Supertubes in Matrix model and DBI action

TL;DR

This paper demonstrates the equivalence of supertube solutions with arbitrary cross sections in both the DBI action for D2-branes and the matrix model for D0-branes, using boundary state formalism valid at all orders.

Contribution

It establishes a comprehensive equivalence between supertubes in D2-brane and D0-brane descriptions through boundary state formalism, extending previous methods to superfunnel solutions.

Findings

Equivalence between supertube solutions in D2 and D0 descriptions.

Boundary state formalism valid at all ' orders.

Successful application to superfunnel solutions.

Abstract

We show the equivalence between the supertube solutions with an arbitrary cross section in two different actions, the DBI action for the D2-brane and the matrix model action for the D0-branes. More precisely, the equivalence between the supertubes in the D2-brane picture and the D0-brane picture is shown in the boundary state formalism which is valid for all order in \alpha'. This is an application of the method using the infinitely many D0-branes and anti-D0-branes which was used to show other equivalence relations between two seemingly different D-brane systems, including the D-brane realization of the ADHM construction of instanton. We also apply this method to the superfunnel type solutions successfully.