Decay of Unstable D-branes with Electric Field

TL;DR

This paper constructs time-dependent solutions in open string theory to describe unstable D-brane decay under an electric field, analyzing energy and string charge evolution, with decay products including fundamental strings and tachyon matter.

Contribution

It introduces explicit conformal field theory solutions for D-brane decay with electric field, detailing the energy and charge dynamics during decay.

Findings

Decay products include stretched fundamental strings and tachyon matter.

Explicit time dependence of energy-momentum tensor and string charge density is obtained.

Solutions provide insight into D-brane decay process in electric backgrounds.

Abstract

Using the techniques of two dimensional conformal field theory we construct time dependent classical solutions in open string theory describing the decay of an unstable D-brane in the presence of background electric field, and explicitly evaluate the time dependence of the energy momentum tensor and the fundamental string charge density associated with this solution. The final decay product can be interpreted as a combination of stretched fundamental strings and tachyon matter.