On the Moduli Space of Noncommutative Multi-solitons at Finite Theta

TL;DR

This paper investigates how finite theta corrections affect the metric of the moduli space of noncommutative multi-solitons in scalar field theory, revealing constraints on multi-centered solutions and potential non right-angle scattering.

Contribution

It explicitly solves the equations of motion up to order O(theta^{-2}) and analyzes the impact of finite theta corrections on soliton interactions and moduli space geometry.

Findings

Multi-soliton solutions must share the same center for generic potentials.

Finite theta corrections modify the moduli space metric.

Potential for non right-angle scattering of two solitons is suggested.

Abstract

We study the finite theta correction to the metric of the moduli space of noncommutative multi-solitons in scalar field theory in (2+1) dimensions. By solving the equation of motion up to order O(theta^{-2}) explicitly, we show that the multi-soliton solution must have the same center for a generic potential term. We examine the condition that the multi-centered configurations are allowed. Under this condition, we calculate the finite theta correction to the metric of the moduli space of multi-solitons and argue the possibility of the non right-angle scattering of two solitons. We also obtain the potential between two solitons.