Moduli Space and Scattering of D0-Branes in Noncommutative Super Yang-Mills Theory

TL;DR

This paper investigates the moduli space and scattering behavior of D0-branes within noncommutative super Yang-Mills theory, revealing universal right-angle scattering in head-on collisions across different Dp-brane systems.

Contribution

It provides a detailed analysis of D0-brane moduli space and demonstrates the universal right-angle scattering behavior in various Dp-brane configurations.

Findings

D0-branes' positions correspond to moduli in the solitonic solutions.

Head-on D0-D4 collisions result in right-angle scattering.

Similar scattering behavior observed in D0-D6 and D0-D8 systems.

Abstract

We study the moduli space of the D0-brane system on Dp-branes realized in the noncommutative super Yang-Mills theory. By examining the fluctuations around the solitonic solutions generated by solution generating technique, we confirm the interpretation of the moduli as the positions of D0-branes on Dp-branes. Low-energy scattering process is also examined for two D0-branes. We find that the D0-branes scatter at right angle for head-on collision in the D0-D4 system. For D0-D6 and D0-D8 systems we find special solutions which reduce to the D0-D4 case, giving the same behavior. This suggests that the scattering at right angle for head-on collision is a universal behavior of this kind of soliton scatterings.