Superconformal SU(1, 1|n) mechanics; Journal of High Energy Physics; Vol. 9

Superconformal SU(1, 1|n) mechanics; Journal of High Energy Physics; Vol. 9

Bibliographic Details
Parent link:Journal of High Energy Physics
Vol. 9.— 2016.— [114, 10 p.]
Main Author: Galajinsky A. V. Anton Vladimirovich
Corporate Author: Национальный исследовательский Томский политехнический университет Физико-технический институт Кафедра высшей математики и математической физики
Other Authors: Lechtenfeld O. Olef
Summary:Title screen
Recent years have seen an upsurge of interest in dynamical realizations of the superconformal group SU(1, 1|2) in mechanics. Remarking that SU(1, 1|2) is a particular member of a chain of supergroups SU(1, 1|n) parametrized by an integer n, here we begin a systematic study of SU(1, 1|n) multi-particle mechanics. A representation of the superconformal algebra su(1, 1|n) is constructed on the phase space spanned by m copies of the (1, 2n, 2n-1) supermultiplet. We show that the dynamics is governed by two prepotentials V and F, and the Witten-Dijkgraaf-Verlinde-Verlinde equation for F shows up as a consequence of a more general fourth-order equation. All solutions to the latter in terms of root systems reveal decoupled models only. An extension of the dynamical content of the (1, 2n, 2n-1) supermultiplet by angular variables in a way similar to the SU(1, 1|2) case is problematic.
Language:English
Published: 2016
Subjects:
электронный ресурс
труды учёных ТПУ
суперсимметрии
Online Access:http://dx.doi.org/10.1007/JHEP09(2016)114
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=651761

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