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dc.identifier.uri http://dx.doi.org/10.15488/1631
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/1656
dc.contributor.author Fedoruk, Sergey
dc.contributor.author Ivanov, Evgeny
dc.contributor.author Lechtenfeld, Olaf
dc.date.accessioned 2017-06-14T13:02:23Z
dc.date.available 2017-06-14T13:02:23Z
dc.date.issued 2010
dc.identifier.citation Fedoruk, S.; Ivanov, E.; Lechtenfeld, O.: New D( 2, 1; alpha) mechanics with spin variables. In: Journal of High Energy Physics 2010 (2010), Nr. 4, 129. DOI: https://doi.org/10.1007/JHEP04(2010)129
dc.description.abstract We elaborate on a novel superconformal mechanics model possessing D(2, 1; alpha) symmetry and involving extra U(2) spin variables. It is the one-particle case of the N=4 superconformal matrix model recently proposed in arXiv:0812.4276 [hep-th], and it generalizes to arbitrary a alpha not equal 0 the OSp(4|2) superconformal mechanics of arXiv:0905.4951 [hep-th]. As in the latter case, the U(2) spin variables are described by a Wess-Zumino action and define the first Hopf map S-3 -> S-2 in the target space. Upon quantization, they represent a fuzzy sphere. We find the classical and quantum generators of the D(2, 1; alpha) superalgebra and their realization on the physical states. The super wave-function encompasses various multiplets of the SU(2)(R) and SU(2)(L) subgroups of D(2, 1; alpha), with fixed isospins. The conformal potential is determined by the external magnetic field in the Wess-Zumino term, whose strength is quantized like in the OSp(4|2) case. As a byproduct, we reveal new invariant subspaces in the enveloping algebra of D(2, 1; alpha) for our quantum realization. eng
dc.description.sponsorship Heisenberg-Landau Programme
dc.description.sponsorship RFBR/08-02-90490
dc.description.sponsorship RFBR/09-02-01209
dc.description.sponsorship RFBR/09-01-93107
dc.description.sponsorship DFG/436 RUS/113/669
dc.language.iso eng
dc.publisher New York, NY : Springer International Publishing
dc.relation.ispartofseries Journal of High Energy Physics 2010 (2010), Nr. 4
dc.rights CC BY 4.0
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Extended Supersymmetry eng
dc.subject Superspaces eng
dc.subject Black Holes eng
dc.subject supersymmetric quantum-mechanics eng
dc.subject black-holes eng
dc.subject superconformal mechanics eng
dc.subject calogero models eng
dc.subject systems eng
dc.subject particle eng
dc.subject n=4 eng
dc.subject supergravity eng
dc.subject d(2,1,alpha) eng
dc.subject superspace eng
dc.subject.ddc 530 | Physik ger
dc.title New D( 2, 1; alpha) mechanics with spin variables
dc.type article
dc.type Text
dc.relation.issn 1029-8479
dc.relation.doi https://doi.org/10.1007/JHEP04(2010)129
dc.bibliographicCitation.issue 4
dc.bibliographicCitation.volume 2010
dc.bibliographicCitation.firstPage 129
dc.description.version publishedVersion
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