2022-05-27T04:18:34Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/688702018-04-25T23:44:04Zhdl_2115_45007hdl_2115_116Fock-space representations of the relativistic supersymmetry algebra in the two-dimensional spacetimeArai, Asao410An 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.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68870info:doi/10.14943/83268https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68870/1/pre123.pdfHokkaido University Preprint Series in Mathematics1232131991-09engpublisher