Calogero models and nonlocal conformal transformations

Anton Galajinsky, Olaf Lechtenfeld, Kirill Victorovich Polovnikov

Research School of High-Energy Physics

Research output: Contribution to journal › Article

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
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	https://doi.org/10.1016/j.physletb.2006.10.062
Publication status	Published - 14 Dec 2006

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Keywords

Calogero model
Nonlocal conformal transformations
Supersymmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

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

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Access to Document

10.1016/j.physletb.2006.10.062