Tachyon Condensation on a Nonstationary D$p$-brane with Background Fields in Superstring Theory

TL;DR

This paper investigates the instability caused by tachyon condensation on a dynamical Dp-brane with background fields in superstring theory, using the boundary state formalism to derive the partition function.

Contribution

It introduces a method to analyze tachyon condensation effects on nonstationary Dp-branes with background fields within superstring theory.

Findings

Derived the partition function for a rotating-moving Dp-brane with background fields.

Analyzed the instability of the Dp-brane due to tachyon condensation.

Provided insights into the dynamics of nonstationary D-branes in superstring theory.

Abstract

Using the boundary state formalism we obtain the partition function corresponding to a dynamical (rotating-moving) D$p$-brane in the presence of electromagnetic and tachyonic background fields in the superstring theory. The instability of such D$p$-brane due to the tachyon condensation is investigated.