Supertubes versus superconducting tubes

TL;DR

This paper explores the relationship between supertubes, cylindrical D2-branes in string theory, and superconducting membranes, showing their equivalence through a specific transformation of their effective actions.

Contribution

It demonstrates the equivalence between the Dirac-Born-Infeld action for supertubes and the effective action for superconducting membranes, linking string theory objects with cosmological models.

Findings

Dirac-Born-Infeld action is equivalent to superconducting membrane action

Supertubes can be described as blown-up type IIA superstrings

A special transformation relates the two effective actions

Abstract

In this paper we show the relationship between cylindrical D2-branes and cylindrical superconducting membranes described by a generic effective action at the bosonic level. In the first case the extended objects considered, arose as blown up type IIA superstrings to D2-branes, named supertubes. In the second one, the cosmological objects arose from some sort of field theories. The Dirac-Born-Infeld action describing supertubes is shown to be equivalent to the generic effective action describing superconducting membranes via a special transformation.