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 | |
| 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
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 journal › Article
}
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
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
ER -