N=2 supersymmetric S^2 -> CP^3 -> S^4 fibration viewed as superparticle mechanics
arXiv:1210.4587 · doi:10.1088/1742-6596/411/1/012019
Abstract
We discuss a Hamiltonian reduction procedure that relates the mechanics of an N=2 particle on CP^3 with the motion of such a superparticle on S^4 in the presence of an instanton background. The key ingredients of the bosonic fibration S^2 -> CP^3 -> S^4 are recalled from the viewpoint of particle mechanics on CP^3. We describe an N=2 supersymmetric extension which allows for a Hamiltonian reduction. The S^2 degrees of freedom are encoded in the supercharges via SU(2) currents. Finally, we present the Hamiltonian of our system and its superfield Lagrangian.
1+6 pages, talk by S.K. at the International Conference on Integrable Systems and Quantum symmetries (ISQS-20), Prague, 2012; v2: reference added