Geodesic Scattering of Solitonic Strings

We compute the metric on moduli space for the Dabholkar-Harvey string soliton in $D=4$ to lowest nontrivial order in the string tension. The metric is found to be flat, which implies trivial scattering of the solitons. This result is consistent with an earlier test-string calculation of the leading order dynamical force and a computation of the Veneziano amplitude for the scattering of macroscopic strings.