Calogero models and nonlocal conformal transformations

Anton Galajinsky, Olaf Lechtenfeld, Kirill Victorovich Polovnikov

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


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 languageEnglish
Pages (from-to)221-227
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
Publication statusPublished - 14 Dec 2006


  • Calogero model
  • Nonlocal conformal transformations
  • Supersymmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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