### 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 |

### Fingerprint

### Keywords

- Calogero model
- Nonlocal conformal transformations
- Supersymmetry

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*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

**Calogero models and nonlocal conformal transformations.** / Galajinsky, Anton; Lechtenfeld, Olaf; Polovnikov, Kirill Victorovich.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 643, no. 3-4, pp. 221-227. https://doi.org/10.1016/j.physletb.2006.10.062

}

TY - JOUR

T1 - Calogero models and nonlocal conformal transformations

AU - Galajinsky, Anton

AU - Lechtenfeld, Olaf

AU - Polovnikov, Kirill Victorovich

PY - 2006/12/14

Y1 - 2006/12/14

N2 - 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.

AB - 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.

KW - Calogero model

KW - Nonlocal conformal transformations

KW - Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=33751216831&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751216831&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.10.062

DO - 10.1016/j.physletb.2006.10.062

M3 - Article

VL - 643

SP - 221

EP - 227

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

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

SN - 0370-2693

IS - 3-4

ER -