N=4 superconformal Calogero models

N=4 superconformal Calogero models

Bibliographic Details
Parent link:Journal of High Energy Physics: Scientific Journa.— , 1994-
Vol. 11.— 2007.— [22 p.]
Main Author: Galajinsky A. V. Anton Vladimirovich
Other Authors: Lechtenfeld O. Olaf, Polovnikov K. V. Kirill Viktorovich
Summary:Title screen
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.
Language:English
Published: 2007
Subjects:
электронный ресурс
труды учёных ТПУ
модели Калоджеро
Calogero model
конформные преобразования
nonlocal conformal transformations
нелокальные конформные преобразования
Online Access:http://arxiv.org/abs/0708.1075
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=640347

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