Superconformal Calogero models as a gauged matrix mechanics
arXiv:1002.2920
Abstract
We present basics of the gauged superfield approach to constructing N-superconformal multi-particle Calogero-type systems developed in arXiv:0812.4276, arXiv:0905.4951 and arXiv:0912.3508. This approach is illustrated by the multi-particle systems possessing SU(1,1|1) and D(2,1;α) supersymmetries, as well as by the model of new N=4 superconformal quantum mechanics.
1+11 pages, Talk at the Conference "Selected Topics in Mathematical and Particle Physics", In Honor of 70-th Birthday of Jiri Niederle, 5-7 May 2009, Prague and at the XVIII International Colloquium "Integrable Systems and Quantum Symmetries", 18-20 June 2009, Prague, Czech Republic