Calogero models and nonlocal conformal transformations

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

Keywords

Calogero model
Nonlocal conformal transformations
Supersymmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2006.10.062

Fingerprint Dive into the research topics of 'Calogero models and nonlocal conformal transformations'. Together they form a unique fingerprint.

Cite this

@article{6c70f02294bd4676956a8cd9cc28de6e,

title = "Calogero models and nonlocal conformal transformations",

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.",

keywords = "Calogero model, Nonlocal conformal transformations, Supersymmetry",

author = "Anton Galajinsky and Olaf Lechtenfeld and Polovnikov, {Kirill Victorovich}",

year = "2006",

month = dec,

day = "14",

doi = "10.1016/j.physletb.2006.10.062",

language = "English",

volume = "643",

pages = "221--227",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "3-4",

}

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

AN - SCOPUS:33751216831

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