New Super Calogero Models and OSp(4|2) Superconformal Mechanics
Abstract
We report on the new approach to constructing superconformal extensions of the Calogero-type systems with an arbitrary number of involved particles. It is based upon the superfield gauging of non-abelian isometries of some supersymmetric matrix models. Among its applications, we focus on the new N=4 superconformal system yielding the U(2) spin Calogero model in the bosonic sector, and the one-particle case of this system, which is a new OSp(4|2) superconformal mechanics with non-dynamical U(2) spin variables. The characteristic feature of these models is that the strength of the conformal inverse-square potential is quantized.
Cite
@article{arxiv.1001.2536,
title = {New Super Calogero Models and OSp(4|2) Superconformal Mechanics},
author = {Sergey Fedoruk and Evgeny Ivanov and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:1001.2536},
year = {2015}
}
Comments
12 pages, talk presented by E.Ivanov at the XIII International Conference "Symmetry Methods in Physics", Dubna, July 6-9, 2009