dc.identifier.uri |
http://dx.doi.org/10.15488/737 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/761 |
|
dc.contributor.author |
Galajinsky, Anton
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.date.accessioned |
2016-11-25T08:33:31Z |
|
dc.date.available |
2016-11-25T08:33:31Z |
|
dc.date.issued |
2016 |
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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: http://dx.doi.org/10.1007/JHEP09(2016)114 |
|
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 |
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dc.language.iso |
eng |
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dc.publisher |
Heidelberg : Springer Verlag |
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dc.relation.ispartofseries |
Journal of High Energy Physics 2016 (2016), Nr. 9 |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
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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.relation.doi |
http://dx.doi.org/10.1007/JHEP09(2016)114 |
|
dc.bibliographicCitation.issue |
9 |
|
dc.bibliographicCitation.volume |
2016 |
|
dc.bibliographicCitation.firstPage |
114 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|