Fluxbranes Delaying Brane-Antibrane Annihilation

TL;DR

This paper investigates how fluxbranes, specifically RR F7-branes, can delay the annihilation of brane-antibrane pairs, revealing differences in stability mechanisms between RR-charged and NSNS-charged systems through supergravity solutions.

Contribution

It demonstrates that RR F7-branes can temporarily stabilize brane-antibrane systems, providing insight into the contrasting instability behaviors of RR and NSNS charged branes.

Findings

RR F7-branes delay brane-antibrane annihilation

NSNS charged branes always collide and annihilate

Different instability mechanisms for RR and NSNS systems

Abstract

By intersecting the RR charged D_p - bar{D}_p pair (p=6, 4, 2, 0) with the RR F7-brane and by intersecting the NSNS charged F1-bar{F1} and NS5-bar{NS5} pairs with the NSNS F6-branes, the possibility of stabilizing the brane-antibrane systems is considered. The behavior of the corresponding supergravity solutions indicates that the RR F7-brane content of the solution plays the role of keeping the brane and the antibrane from annihilating each other completely since the two-brane configuration structure still persists in the vanishing inter-brane distance limit of the supergravity solution. In terms of the stringy description, we interpret this as representing that the RR F7-brane ``delays'' the brane-antibrane annihilation process but only until this non-supersymmetric and hence unstable F7-brane itself decays. Then next, the behavior of the supergravity solutions representing F1-bar{F1} and NS5-bar{NS5} again for vanishing inter-brane separation reveals that as they approach, these ``NS''-charged brane and antibrane always collide and annihilate irrespective of the presence or the absence of the NSNS F6-brane. And we have essentially attributed this to the absence of (open) stringy description of the instability in the ``NS''-charged case. This interpretation may provide a resolution to the contrasting features between the instability of ``R''-charged brane-antibrane systems and that of `NS''-charged ones. Certainly, however, it poses another puzzle that in the ``NS''-charged case, the quantum entity, that should take over the semi-classical instability as the inter-brane distance gets smaller, is missing. This is rather an embarrassing state of affair that needs to be treated with great care.