Tachyon Kink on non-BPS Dp-brane in the General Background

TL;DR

This paper investigates the behavior of tachyon kinks on non-BPS Dp-branes within general backgrounds, demonstrating their dynamics align with D(p-1)-brane equations derived from DBI and WZ actions.

Contribution

It explicitly shows that tachyon kink dynamics on non-BPS Dp-branes in complex backgrounds are governed by D(p-1)-brane equations of motion.

Findings

Tachyon kink dynamics match D(p-1)-brane equations

Inclusion of NS-NS B-field and RR fields in analysis

Explicit derivation from DBI and WZ actions

Abstract

This paper is devoted to the study of the tachyon kink on the worldvolume of a non-BPS Dp-brane that is embedded in general background, including NS-NS two form B and also general Ramond-Ramond field. We will explicitly show that the dynamics of the kink is described by the equations of motion that arrise from the DBI and WZ action for D(p-1)-brane.