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Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space
| Title: | Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | supersymmetry | | hilbert space | | algebras | | quantum operators | | quantum field theory | | lie groups | | symmetry groups |
| Issue Date: | Feb-1995 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of Mathematical Physics |
| Volume: | 36 |
| Issue: | 2 |
| Start Page: | 613 |
| End Page: | 621 |
| Publisher DOI: | 10.1063/1.531144 |
| Abstract: | Operator-theoretical analysis is made on (unbounded) representations, in Hilbert spaces, of a supersymmetry (SUSY) algebra coming from a supersymmetric quantum field theory in two-dimensional space–time. A basic idea for the analysis is to apply the theory of strongly anticommuting self-adjoint operators. A theorem on integrability of a representation of the SUSY algebra is established. Moreover, it is shown that strong anticommutativity of self-adjoint operators is a natural and suitable concept in analyzing representations of the SUSY algebra in Hilbert space. |
| Rights: | Copyright © 1995 American Institute of Physics |
| Relation: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/13671 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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