On the moduli space of non-commutative multi-solitons at finite θ

We study the finite θ correction to the metric of the moduli space of non-commutative multi-solitons in scalar field theory in 2+1 dimensions. By solving the equation of motion up to order O(θ−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 θ 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.