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 |
|