Note About Tachyon Kink In Nontrivial Background

TL;DR

This paper investigates how tachyon condensation on a non-BPS Dp-brane in a complex background results in the formation of a D(p-1)-brane described by the Dirac-Born-Infeld action.

Contribution

It demonstrates that spatially dependent tachyon condensation in a nontrivial background produces a D(p-1)-brane with dynamics governed by the DBI action, extending previous flat background results.

Findings

Tachyon kink leads to D(p-1)-brane formation.

The resulting brane dynamics follow the Dirac-Born-Infeld action.

Spatial dependence is crucial for the kink formation.

Abstract

This paper is devoted to the study of the tachyon kink on the worldvolume of a non-BPS Dp-brane that moves in a nontrivial background. We will show that the spatial dependent tachyon condensation leads to an emergence of a D(p-1)-brane whose dynamics is governed by Dirac-Born-Infeld action.