Characters of the positive energy UIRs of <Emphasis Type="Italic">D</Emphasis> = 4 conformal supersymmetry |
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| Authors: | V K Dobrev |
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| Institution: | (1) School of Informatics, University of Northumbria, Ellison Building, Newcastle upon Tyne, NE1 8ST, UK;(2) Institute of Nuclear Research and Nuclear Energy Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, 1784 Sofia, Bulgaria |
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| Abstract: | We give character formulas for the positive energy unitary irreducible representations of the N-extended D = 4 conformal superalgebras su(2, 2/N). Using these, we also derive decompositions of long superfields as they descend to the unitarity threshold. These results
are also applicable to irreps of the complex Lie superalgebras sl(4/N). Our derivations use results from the representation theory of su(2, 2/N) developed as early as the 1980s.
The text was submitted by the author in English. |
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