N=4 supersymmetric mechanics on curved spaces

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dc.identifier.uri http://dx.doi.org/10.15488/3799
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/3833
dc.contributor.author Kozyrev, Nikolay
dc.contributor.author Krivonos, Sergey
dc.contributor.author Lechtenfeld, Olaf
dc.contributor.author Nersessian, Armen
dc.contributor.author Sutulin, Anton
dc.date.accessioned 2018-10-10T09:10:14Z
dc.date.available 2018-10-10T09:10:14Z
dc.date.issued 2018
dc.identifier.citation Kozyrev, N.; Krivonos, S.; Lechtenfeld, O.; Nersessian, A.; Sutulin, A.: N=4 supersymmetric mechanics on curved spaces. In: Physical Review D 97 (2018), Nr. 8, 85015. DOI: https://doi.org/10.1103/PhysRevD.97.085015
dc.description.abstract We present N=4 supersymmetric mechanics on n-dimensional Riemannian manifolds constructed within the Hamiltonian approach. The structure functions entering the supercharges and the Hamiltonian obey modified covariant constancy equations as well as modified Witten-Dijkgraaf-Verlinde-Verlinde equations specified by the presence of the manifold's curvature tensor. Solutions of original Witten-Dijkgraaf-Verlinde-Verlinde equations and related prepotentials defining N=4 superconformal mechanics in flat space can be lifted to so(n)-invariant Riemannian manifolds. For the Hamiltonian this lift generates an additional potential term which, on spheres and (two-sheeted) hyperboloids, becomes a Higgs-oscillator potential. In particular, the sum of n copies of one-dimensional conformal mechanics results in a specific superintegrable deformation of the Higgs oscillator. eng
dc.language.iso eng
dc.publisher College Park, MD : American Physical Society
dc.relation.ispartofseries Physical Review D 97 (2018), Nr. 8
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Riemannian manifolds eng
dc.subject Hamiltonian eng
dc.subject Witten-Dijkgraaf-Verlinde-Verlinde equations eng
dc.subject.ddc 530 | Physik ger
dc.title N=4 supersymmetric mechanics on curved spaces
dc.type article
dc.type Text
dc.relation.issn 24700010
dc.relation.doi https://doi.org/10.1103/PhysRevD.97.085015
dc.bibliographicCitation.issue 8
dc.bibliographicCitation.volume 97
dc.bibliographicCitation.firstPage 85015
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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