dc.identifier.uri | http://dx.doi.org/10.15488/1628 | |
dc.identifier.uri | http://www.repo.uni-hannover.de/handle/123456789/1653 | |
dc.contributor.author | Krivonos, Sergey | |
dc.contributor.author | Lechtenfeld, Olaf | |
dc.date.accessioned | 2017-06-14T13:02:22Z | |
dc.date.available | 2017-06-14T13:02:22Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Krivonos, Sergey; Lechtenfeld, Olaf: Many-particle mechanics with D(2, 1; alpha) superconformal symmetry. In: Journal of High Energy Physics 2011 (2011), Nr. 2, 42. DOI: https://doi.org/10.1007/JHEP02(2011)042 | |
dc.description.abstract | We overcome the barrier of constructing N - 4 superconformal models in one space dimension for more than three particles. The D(2, 1; alpha) superalgebra of our systems is realized on the coordinates and momenta of the particles, their superpartners and one complex pair of harmonic variables. The models are determined by two prepotentials, F and U, which must obey the WDVV and a Killing-type equation plus homogeneity conditions. We investigate permutation-symmetric solutions, with and without translation invariance. Models based on deformed An and BCDn root systems are constructed for any value of alpha, and exceptional F-n-type and super root systems admit solutions as well. Translation-invariant mechanics occurs for any number of particles at alpha=-1/2 (osp(4/2) invariance as a degenerate limit) and for four particles at arbitrary alpha (three series). | eng |
dc.description.sponsorship | DFG/436 RUS/113/669 | |
dc.description.sponsorship | RFBR/09-02-01209 | |
dc.description.sponsorship | RFBR/09-02-91349 | |
dc.description.sponsorship | Heisenberg-Landau Program | |
dc.language.iso | eng | |
dc.publisher | New York, NY : Springer International Publishing | |
dc.relation.ispartofseries | Journal of High Energy Physics 2011 (2011), Nr. 2 | |
dc.rights | CC BY 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Integrable Equations in Physics | eng |
dc.subject | Extended Supersymmetry | eng |
dc.subject | wdvv equations | eng |
dc.subject | root systems | eng |
dc.subject.ddc | 530 | Physik | ger |
dc.title | Many-particle mechanics with D(2, 1; alpha) superconformal symmetry | |
dc.type | Article | |
dc.type | Text | |
dc.relation.issn | 1029-8479 | |
dc.relation.doi | https://doi.org/10.1007/JHEP02(2011)042 | |
dc.bibliographicCitation.issue | 2 | |
dc.bibliographicCitation.volume | 2011 | |
dc.bibliographicCitation.firstPage | 42 | |
dc.description.version | publishedVersion | |
tib.accessRights | frei zug�nglich |
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