Relativistic Dynamics of Multi-BPS D-vortices and Straight BPS D-strings

Abstract

Moduli space dynamics of multi-D-vortices from D2$\bar{\mathrm{D}}$ (equivalently, parallel straight D-strings from D3$\bar{\mathrm{D}}$3) is systematically studied. For the BPS D-vortices, we show through exact calculations that the classical motion of randomly-distributed $n$ D-vortices is governed by a relativistic Lagrangian of free massive point-particles. When the head-on collision of two identical BPS D-vortices of zero radius is considered, it predicts either 90${}^{\circ }$ scattering or 0${}^{\circ }$ scattering equivalent to 180${}^{\circ }$ scattering. Since the former leads to a reconnection of two identical D-strings and the latter does to a case of their passing through each other, two possibilities are consistent with the prediction of string theory. It is also shown that the force between two non-BPS vortices is repulsive. Although the obtained moduli space dynamics of multi-BPS-D-vortices is exact in classical regime, the quantum effect of an F-string pair production should be included in determining the probabilities of the reconnection and the passing through for fast-moving cosmic superstrings.

18 pages, 3 figures. Changes for the analysis of scattering and minor changes have been made. 1 figure has been replaced

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Cited by in corpus (2)

• Note About Unstable M3-brane Action
• Tunneling decay of false vortices with gravitation