No abstract

No abstract

Investigating the solitons in the non-commutative CP 1 model, we have found a new set of BPS solitons which does not have counterparts in the commutative model.

No abstract

Quantization of a system constrained to move on a sphere is considered by taking a square root of the "on sphere condition". We arrive at the fibre bundle structure of the Hopf map in the cases of S 2 and S 4 . This leads to more geometrical understanding of monopole and instanton gauge structures that emerge in the course of quantization.