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arXiv · 1001.2536

New Super Calogero Models and OSp(4|2) Superconformal Mechanics

Sergey Fedoruk·Evgeny Ivanov·Olaf Lechtenfeld
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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.

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Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld. 2010-01-14. New Super Calogero Models and OSp(4|2) Superconformal Mechanics. https://doi.org/10.1134/s1063778811060081

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