Metamorphosis Of Tachyon Profile In Unstable D9-Branes

TL;DR

This paper extends previous work on unstable D9-branes by including higher derivative corrections, leading to exact solutions for brane configurations that align with theoretical expectations and reveal new bound states.

Contribution

It introduces higher derivative corrections into the effective theory, providing exact solutions and discovering new brane configurations not accessible in two derivative truncations.

Findings

Exact solutions for BPS branes with higher derivative corrections

Identification of a (F,D6) bound state ending on D8-brane due to higher derivatives

Realization of the dielectric brane as a nonsupersymmetric solution

Abstract

We explored a variety of brane configurations in our previous paper within the two derivative truncation of the unstable D9-brane effective theory. In this paper we extend our previous results with emphasis on the inclusion of the higher derivative corrections for the tachyon and the gauge fields computed in the boundary string field theories. We give the exact solutions to BPS brane configurations studied in our previous paper and find remarkable exact agreements of their energies and RR-charges with the expected results. We further find a few more solutions that we could not construct in the two derivative truncations, such as a (F,D6) bound state ending on a D8-brane whose existence turns out to be due to a higher derivative effect and also the dielectric brane of Emparan and Myers as a nonsupersymmetric example. These are also in exact agreements with the results obtained in the effective theory of supersymmetric D-branes.