Calogero models and nonlocal conformal transformations

Anton Galajinsky, Olaf Lechtenfeld, Kirill Victorovich Polovnikov

Research output: Contribution to journalArticle

33 Citations (Scopus)

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 languageEnglish
Pages (from-to)221-227
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume643
Issue number3-4
DOIs
Publication statusPublished - 14 Dec 2006

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conformal mapping
Hilbert space
simplification
symmetry

Keywords

  • Calogero model
  • Nonlocal conformal transformations
  • Supersymmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 643, No. 3-4, 14.12.2006, p. 221-227.

Research output: Contribution to journalArticle

Galajinsky, Anton ; Lechtenfeld, Olaf ; Polovnikov, Kirill Victorovich. / Calogero models and nonlocal conformal transformations. In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2006 ; Vol. 643, No. 3-4. pp. 221-227.
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