Scalar Multi-Solitons on the Fuzzy Sphere

  title={Scalar Multi-Solitons on the Fuzzy Sphere},
  author={Sachindeo Vaidya},
  journal={Journal of High Energy Physics},
  • S. Vaidya
  • Published 13 September 2001
  • Mathematics, Physics
  • Journal of High Energy Physics
We study solitons in scalar theories with polynomial interactions on the fuzzy sphere. Such solitons are described by projection operators of rank k, and hence the moduli space for the solitons is the grassmannian Gr(k,2j+1). The gradient term of the action provides a non-trivial potential on Gr(k,2j+1), thus reducing the moduli space. We construct configurations corresponding to well-separated solitons, and show that although the solitons attract each other, the attraction vanishes in the… 

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