Supertubes in Field Theories

TL;DR

This paper explores the formation of supertubes as composite BPS objects in field theories, deriving new bounds and illustrating their manifestation as various solitons, revealing novel configurations and properties of these objects.

Contribution

It introduces a new BPS bound for composite linear solitons and demonstrates the realization of supertubes as different types of Chern-Simons solitons and instantons in field theories.

Findings

Derived a new BPS bound on composite solitons.

Identified supertubes as manifestations of various solitons.

Showed supertubes can form arbitrary closed curves.

Abstract

To a domain wall or string object, Noether charge and topological spatial objects can be attracted, forming a composite BPS (Bogomolny-Prasad-Sommerfield) object. We consider two field theories and derive a new BPS bound on composite linear solitons involving multiple charges. Among the BPS objects `supertubes' appear when the wall or string tension is canceled by the bound energy, and could take an arbitrary closed curve. In our theories, supertubes manifest as Chern-Simons solitons, dyonic instantons, charged semi-local vortices, and dyonic instantons on vortex flux sheet.