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Fock-space representations of the relativistic supersymmetry algebra in the two-dimensional spacetime
| Title: | Fock-space representations of the relativistic supersymmetry algebra in the two-dimensional spacetime |
| Authors: | Arai, Asao Browse this author |
| Issue Date: | Sep-1991 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 123 |
| Start Page: | 2 |
| End Page: | 13 |
| Abstract: | An operator theoretical analysis is made on the representation of the supersymmetry(SUSY) algebra originating from the relativistic supersymmetry in the two dimensional space-time with a proper treatment of anticommutatvity and commutativity of operators in the SUSY algebra. It is shown that, given on a Hilbert space .fj two selfadjoint supercharges anticommuting in the strong sense, one can construct a representation of the SUSY algebra on .fj such that the supersymmetric Hamiltonian and the momentum operator commute in the strong sense. As an application, a general class of representations of the SUSY algebra is constructed on an abstract Boson-Fermion Fock space. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68870 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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