New Super Calogero Models and OSp(4|2) Superconformal Mechanics
arXiv:1001.2536 · doi:10.1134/S1063778811060081
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.
12 pages, talk presented by E.Ivanov at the XIII International Conference "Symmetry Methods in Physics", Dubna, July 6-9, 2009
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- Physics and Mathematics of Calogero particles
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- Calogero models and nonlocal conformal transformations
- OSp(4|2) Superconformal Mechanics
- N=4 supersymmetric 3-particles Calogero model
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