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

TL;DR

This paper introduces a novel superfield gauging approach to construct superconformal Calogero models with arbitrary particles, leading to new N=4 and OSp(4|2) superconformal systems with quantized potential strength.

Contribution

It presents a new method for building superconformal extensions of Calogero models using superfield gauging of non-abelian isometries, resulting in novel models with quantized potentials.

Findings

Developed a superfield gauging approach for superconformal models.

Constructed a new N=4 superconformal U(2) spin Calogero model.

Derived a one-particle OSp(4|2) superconformal mechanics with non-dynamical spin variables.

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.