Calogero models and nonlocal conformal transformations

• DOI: 10.1016/j.physletb.2006.10.062
• Publication Date: 2006-11-10T07:28:04Z
• Authors: Anton Galajinsky; Olaf Lechtenfeld; Kirill Polovnikov
• Keywords: Realization (probability); Extremal length; Conformal anomaly; Conformal geometry

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