Non-SUSY $p$-branes, bubbles and tubular branes

TL;DR

This paper explores non-supersymmetric p-brane solutions in type II string theories, revealing their connections to bubbles and tubular D6 branes, and providing insights into their classical supergravity descriptions and underlying physical interpretations.

Contribution

It introduces a unified framework linking non-supersymmetric p-branes, bubbles, and tubular D6 branes, including new solutions with rotation parameters and their physical implications.

Findings

Chargeless solutions can be regular and describe bubbles in 11D.

Tubular D6 branes are stabilized by magnetic flux in 10D.

Relations among non-supersymmetric p-branes, bubbles, and tubular branes are clarified.

Abstract

We consider non-supersymmetric $p$-brane solutions of type II string theories characterized by three parameters. When the charge parameter vanishes and one of the other two takes a specific value, the corresponding chargeless solutions can be regular and describe ``bubbles'' in static (unstable) equilibrium when lifted to $d = 11$. In appropriate coordinates, they represent D6 branes with a tubular topology R$^{1,p}$ $\times$ S$^{6-p}$ when reduced to $d=10$, called the tubular D6 branes, held in static equilibrium by a fixed magnetic flux (fluxbrane). Moreover, a `rotation parameter' can be introduced to either of the above two eleven dimensional configurations, giving rise to a generalized configuration labelling by the parameter. As such, it brings out the relations among non-supersymmetric $p$-branes, bubbles and tubular D6 branes. Given our understanding on tubular D6 branes, we are able to reinforce the interpretation of the chargeless non-supersymmetric $p$-branes as representing $p$-brane-anti$p$-brane (or non-BPS $p$-brane) systems, and understand the static nature and various singularities of these systems in a classical supergravity approximation.