dorsal/arxiv
View SchemaGeneral realization of N=4 supersymmetric quantum mechanics and its applications
| Authors | Dong Ruan, Weicheng Huang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204048 |
| URL | https://arxiv.org/abs/quant-ph/0204048 |
| DOI | 10.1063/1.1578531 |
Abstract
Based upon the general supercharges which involve not only generators C_j of the Clifford algebra C(4,0) with positive metric, but also operators of third order, C_j C_k C_l, the general form of N=4 supersymmetric quantum mechanics (SSQM), which brings out the richer structures, is realized. Then from them, an one-dimensional physical realization and a new multi-dimensional physical realization of N=4 SSQM are respectively obtained by solving the constraint conditions. As applications, N=4 dynamical superconformal symmetries, which possess both the N=4 supersymmetries and the usual dynamical conformal symmetries, are studied in detail by considering two simple superpotentials k/x and \omega x, and their corresponding superalgebraic structures, which are spanned by eight fermionic generators and six bosonic generators, are established as well.
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"abstract": "Based upon the general supercharges which involve not only generators C_j of\nthe Clifford algebra C(4,0) with positive metric, but also operators of third\norder, C_j C_k C_l, the general form of N=4 supersymmetric quantum mechanics\n(SSQM), which brings out the richer structures, is realized. Then from them, an\none-dimensional physical realization and a new multi-dimensional physical\nrealization of N=4 SSQM are respectively obtained by solving the constraint\nconditions. As applications, N=4 dynamical superconformal symmetries, which\npossess both the N=4 supersymmetries and the usual dynamical conformal\nsymmetries, are studied in detail by considering two simple superpotentials k/x\nand \\omega x, and their corresponding superalgebraic structures, which are\nspanned by eight fermionic generators and six bosonic generators, are\nestablished as well.",
"arxiv_id": "quant-ph/0204048",
"authors": [
"Dong Ruan",
"Weicheng Huang"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1578531",
"title": "General realization of N=4 supersymmetric quantum mechanics and its applications",
"url": "https://arxiv.org/abs/quant-ph/0204048"
},
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