Details
| Original language | English |
|---|---|
| Article number | 008 |
| Journal | Journal of high energy physics |
| Volume | 2007 |
| Issue number | 11 |
| Publication status | Published - 1 Nov 2007 |
Abstract
We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various = 4 superconformal quantum many-body systems on the real line from a set of decoupled particles extended by fermionic degrees of freedom. The {su}(1,1|2) invariant models are governed by two scalar potentials obeying a system of nonlinear partial differential equations which generalizes the Witten-Dijkgraaf-Verlinde-Verlinde equations. As an application, the = 4 superconformal extension of the three-particle (A-type) Calogero model generates a unique G 2-type Hamiltonian featuring three-body interactions. We fully analyze the = 4 superconformal three- and four-particle models based on the root systems of A 1⊕G 2 and F 4, respectively. Beyond Wyllard's solutions we find a list of new models, whose translational non-invariance of the center-of-mass motion fails to decouple and extends even to the relative particle motion.
Keywords
- Conformal and W Symmetry, Extended Supersymmetry/Integrable Equations in Physics
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2007, No. 11, 008, 01.11.2007.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - N = 4 superconformal Calogero models
AU - Galajinsky, Anton
AU - Polovnikov, Kirill
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2007/11/1
Y1 - 2007/11/1
N2 - We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various = 4 superconformal quantum many-body systems on the real line from a set of decoupled particles extended by fermionic degrees of freedom. The {su}(1,1|2) invariant models are governed by two scalar potentials obeying a system of nonlinear partial differential equations which generalizes the Witten-Dijkgraaf-Verlinde-Verlinde equations. As an application, the = 4 superconformal extension of the three-particle (A-type) Calogero model generates a unique G 2-type Hamiltonian featuring three-body interactions. We fully analyze the = 4 superconformal three- and four-particle models based on the root systems of A 1⊕G 2 and F 4, respectively. Beyond Wyllard's solutions we find a list of new models, whose translational non-invariance of the center-of-mass motion fails to decouple and extends even to the relative particle motion.
AB - We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various = 4 superconformal quantum many-body systems on the real line from a set of decoupled particles extended by fermionic degrees of freedom. The {su}(1,1|2) invariant models are governed by two scalar potentials obeying a system of nonlinear partial differential equations which generalizes the Witten-Dijkgraaf-Verlinde-Verlinde equations. As an application, the = 4 superconformal extension of the three-particle (A-type) Calogero model generates a unique G 2-type Hamiltonian featuring three-body interactions. We fully analyze the = 4 superconformal three- and four-particle models based on the root systems of A 1⊕G 2 and F 4, respectively. Beyond Wyllard's solutions we find a list of new models, whose translational non-invariance of the center-of-mass motion fails to decouple and extends even to the relative particle motion.
KW - Conformal and W Symmetry
KW - Extended Supersymmetry/Integrable Equations in Physics
UR - http://www.scopus.com/inward/record.url?scp=36849023789&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2007/11/008
DO - 10.1088/1126-6708/2007/11/008
M3 - Article
AN - SCOPUS:36849023789
VL - 2007
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 11
M1 - 008
ER -