N=4 superconformal Calogero models
| dc.creator | Galajinsky, Anton | |
| dc.creator | Lechtenfeld, Olaf | |
| dc.creator | Polovnikov, Kirill | |
| dc.date | 2007-08-08 | |
| dc.date | 2007-11-01 | |
| dc.date.accessioned | 2026-07-07T10:57:03Z | |
| dc.date.available | 2026-07-07T10:57:03Z | |
| dc.description | We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various N=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 N=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 N=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. | |
| dc.description | 1+21 pages; v2: slight changes in section 4, new subsection 5.3 with additional results (a full list of n=3 and n=4 models), acknowledgments and one reference added, JHEP version | |
| dc.identifier | https://arxiv.org/abs/0708.1075 | |
| dc.identifier | http://arxiv.org/abs/0708.1075 | |
| dc.identifier | JHEP0711:008,2007 | |
| dc.identifier | doi:10.1088/1126-6708/2007/11/008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186622 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | N=4 superconformal Calogero models | |
| dc.type | text |