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Galajinsky, A.; Lechtenfeld, Olaf: Superconformal SU(1, 1|n) mechanics. In: Journal of High Energy Physics 2016 (2016), Nr. 9, 114. DOI:

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Sum total of downloads: 192

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.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2016
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 158 82.29%
2 image of flag of United States United States 12 6.25%
3 image of flag of No geo information available No geo information available 9 4.69%
4 image of flag of China China 4 2.08%
5 image of flag of Lithuania Lithuania 2 1.04%
6 image of flag of Taiwan Taiwan 1 0.52%
7 image of flag of Sweden Sweden 1 0.52%
8 image of flag of Serbia Serbia 1 0.52%
9 image of flag of Indonesia Indonesia 1 0.52%
10 image of flag of Austria Austria 1 0.52%
    other countries 2 1.04%

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