Non-Abelian Born-Infeld Action and Solitons for Critical Non-BPS Branes

TL;DR

This paper derives the non-abelian Born-Infeld action with tachyon potential for stable non-BPS branes, demonstrating persistent flat directions and exploring stable soliton solutions within this framework.

Contribution

It provides the all-order in alpha' non-abelian Born-Infeld action for non-BPS branes on a critical orbifold, including tachyon dynamics and soliton analysis.

Findings

Non-abelian flat directions in tachyon potential persist to all orders in alpha' at tree level.

Derived the non-abelian Born-Infeld action including tachyon potential for stable non-BPS branes.

Discussed stable soliton states on non-BPS branes.

Abstract

The non-abelian flat directions in the tachyon potential of stable non-BPS branes recently found are shown to persist to all orders in alpha' at tree level in the string coupling. We also obtain the non-abelian Born-Infeld action including the tachyon potential for a stack of stable non-BPS branes on a critical orbifold. Finally we discuss stable soliton states on the non-BPS brane.