On Noncommutative Multi-Solitons

  title={On Noncommutative Multi-Solitons},
  author={Rajesh Gopakumar and Matthew Headrick and Marcus Spradlin},
  journal={Communications in Mathematical Physics},
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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