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 Unported | |
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 | |
tib.accessRights | frei zug�nglich |
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