Brane with Transverse Rotation and Background Fields: Boundary State and Tachyon Condensation

TL;DR

This paper constructs the boundary state for a Dp-brane with transverse rotation and background fields, analyzing how tachyon condensation affects its stability within bosonic string theory.

Contribution

It introduces a boundary state formulation for a rotating Dp-brane with background fields and examines the impact of tachyon condensation on its stability.

Findings

Background fields and transverse rotation do not prevent brane collapse.

Tachyon condensation leads to brane decay.

Boundary state formalism applied to rotating branes with background fields.

Abstract

The boundary state corresponding to the D$p$-brane with a transverse rotation in the presence of the Kalb-Ramond and tachyon background fields and a $U(1)$ internal field will be constructed. We shall investigate effects of the open string tachyon condensation on this brane via its boundary state. We demonstrate that the background fields and transverse rotation cannot protect the brane against the collapse. Our calculations are in the context of the bosonic string theory.