2k-dimensional N=8 supersymmetric quantum mechanics
| dc.creator | Bellucci, S. | |
| dc.creator | Krivonos, S. | |
| dc.creator | Nersessian, A. | |
| dc.creator | Shcherbakov, A. | |
| dc.date | 2004-10-07 | |
| dc.date.accessioned | 2026-07-07T04:17:35Z | |
| dc.date.available | 2026-07-07T04:17:35Z | |
| dc.description | We demonstrate that two-dimensional N=8 supersymmetric quantum mechanics which inherits the most interesting properties of $N=2, d=4$ SYM can be constructed if the reduction to one dimension is performed in terms of the basic object, i.e. the $N=2, d=4$ vector multiplet. In such a reduction only complex scalar fields from the $N=2, d=4$ vector multiplet become physical bosons in $d=1$, while the rest of the bosonic components are reduced to auxiliary fields, thus giving rise to the {\bf (2, 8, 6)} supermultiplet in $d=1$. We construct the most general action for this supermultiplet with all possible Fayet-Iliopoulos terms included and explicitly demonstrate that the action possesses duality symmetry extended to the fermionic sector of theory. In order to deal with the second--class constraints present in the system, we introduce the Dirac brackets for the canonical variables and find the supercharges and Hamiltonian which form a N=8 super Poincarè algebra with central charges. Finally, we explicitly present the generalization of two-dimensional N=8 supersymmetric quantum mechanics to the $2k$-dimensional case with a special Kähler geometry in the target space. | |
| dc.description | 9 pages, presented at the XI International Conference "Symmetry Methods in Physics", 2004, June 21-24, Prague, Czech Republic | |
| dc.identifier | https://arxiv.org/abs/hep-th/0410073 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0410073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52816 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | 2k-dimensional N=8 supersymmetric quantum mechanics | |
| dc.type | text |