LOW-ENERGY DYNAMICS OF A CP1 LUMP ON THE SPHERE

Low-energy dynamics in the unit-charge sector of the CP1 model on spherical space (space-time S2XR) is treated in the approximation of geodesic motion on the moduli space of static solutions, a six-dimensional manifold with nontrivial topology and metric. The structure of the induced metric is restricted by consideration of the isometry group inherited from global symmetries of the full field theory. Evaluation of the metric is then reduced to finding five functions of one coordinate, which may be done explicitly. Some totally geodesic submanifolds are found, and the qualitative features of motion on these described. © 1995 American Institute of Physics.