# On Noncommutative Multi-Solitons

@article{Gopakumar2001OnNM, title={On Noncommutative Multi-Solitons}, author={Rajesh Gopakumar and Matthew Headrick and Marcus Spradlin}, journal={Communications in Mathematical Physics}, year={2001}, volume={233}, pages={355-381} }

Abstract: We find the moduli space of multi-solitons in noncommutative scalar field theories at large θ, in arbitrary dimension. The existence of a non-trivial moduli space at leading order in 1/θ is a consequence of a Bogomolnyi bound obeyed by the kinetic energy of the θ=∞ solitons. In two spatial dimensions, the parameter space for k solitons is a Kähler de-singularization of the symmetric product (ℝ2)k/Sk. We exploit the existence of this moduli space to construct solitons on quotient…

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