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dc.identifier.uri Galajinsky, Anton Lechtenfeld, Olaf 2016-11-25T08:33:31Z 2016-11-25T08:33:31Z 2016
dc.identifier.citation Galajinsky, A.; Lechtenfeld, Olaf: Superconformal SU(1, 1|n) mechanics. In: Journal of High Energy Physics 2016 (2016), Nr. 9, 114. DOI:
dc.description.abstract 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. eng
dc.description.sponsorship DFG/Le-838/12-2
dc.description.sponsorship MSE/3.825.2014/K
dc.description.sponsorship RFBR/15-52-05022
dc.description.sponsorship COST/Action MP1405 QSPACE
dc.language.iso eng
dc.publisher Heidelberg : Springer Verlag
dc.relation.ispartofseries Journal of High Energy Physics 2016 (2016), Nr. 9
dc.rights CC BY 4.0 Unported
dc.subject Conformal and W Symmetry eng
dc.subject Extended Supersymmetry eng
dc.subject.ddc 530 | Physik ger
dc.title Superconformal SU(1, 1|n) mechanics eng
dc.type Article
dc.type Text
dc.relation.essn 1029-8479
dc.bibliographicCitation.issue 9
dc.bibliographicCitation.volume 2016
dc.bibliographicCitation.firstPage 114
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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