Tubular Branes in Fluxbranes

TL;DR

This paper constructs new self-gravitating tubular brane configurations stabilized by fluxes, including string loops and intersecting M5-branes, exploring their properties and stability issues within supergravity.

Contribution

It introduces explicit solutions for self-gravitating tubular branes with various worldvolume geometries and fluxes, extending previous non-gravitational studies.

Findings

Solutions for string loops with non-singular horizons.

M5-branes intersecting over tubular loops.

Challenges in reproducing stable configurations with self-gravity.

Abstract

We describe the construction of new configurations of self-gravitating p-branes with worldvolume geometries of the form R^{1,p-s} x S^s, with 1\leq s\leq p, ie, tubular branes. Since such branes are typically unstable against collapse of the sphere, they must be held in equilibrium by a fluxbrane. We present solutions for string loops with non-singular horizons, as well as M5-branes intersecting over such loops. We also construct tubular branes which carry in their worldvolume a dissolved, lower dimensional brane (as in the dielectric effect), or an F-string. However, the connection between our solutions and related configurations that have been studied earlier in the absence of brane self-gravity, is unclear. It is argued that, at least in some instances, the self-gravitating solutions do not appear to be able to reproduce stable configurations of tubular branes.