### Abstract

We propose a universal method of relating the Calogero model to a set of decoupled particles on the real line, which can be uniformly applied to both the conformal and nonconformal versions as well as to supersymmetric extensions. For conformal models the simplification is achieved at the price of a nonlocal realization of the full conformal symmetry in the Hilbert space of the resulting free theory. As an application, we construct two different N = 2 superconformal extensions.

Original language | English |
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Pages (from-to) | 221-227 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 643 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 14 Dec 2006 |

### Keywords

- Calogero model
- Nonlocal conformal transformations
- Supersymmetry

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Galajinsky, A., Lechtenfeld, O., & Polovnikov, K. V. (2006). Calogero models and nonlocal conformal transformations.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*643*(3-4), 221-227. https://doi.org/10.1016/j.physletb.2006.10.062