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Supersymmetry and Lie algebras
dc.contributor.authorLevine, R. Y.en_US
dc.contributor.authorTomozawa, Yukioen_US
dc.date.accessioned2010-05-06T23:00:02Z
dc.date.available2010-05-06T23:00:02Z
dc.date.issued1982-08en_US
dc.identifier.citationLevine, R. Y.; Tomozawa, Y. (1982). "Supersymmetry and Lie algebras." Journal of Mathematical Physics 23(8): 1415-1421. <http://hdl.handle.net/2027.42/70970>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70970
dc.description.abstractStarting from the standard supersymmetry algebra, an infinite Lie algebra is constructed by introducing commutators of fermionic generators as members of the algebra. From this algebra a finite Lie algebra results for fixed momentum analogous to the Wigner analysis of the Poincaré algebra. It is shown that anticommutation of the fermionic charges plays the role of a constraint on the representation. Also, it is suggested that anticommuting parameters can be avoided by using this infinite Lie algebra with fermionic generators modified by a Klein transformation.en_US
dc.format.extent3102 bytes
dc.format.extent446430 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleSupersymmetry and Lie algebrasen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics, University of Michigan, Ann Arbor, Michigan 48109en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70970/2/JMAPAQ-23-8-1415-1.pdf
dc.identifier.doi10.1063/1.525532en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
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dc.identifier.citedreferenceNote that the quadratic Casimir for Sp(4) is given by L2+M2−(1/4P0){S1,S4}+(1/4P0){S2,S3}.L2+M2−(1∕4P0){S1,S4}+(1∕4P0){S2,S3}.en_US
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dc.owningcollnamePhysics, Department of


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