Characters of the positive energy UIRs of D=4 conformal supersymmetry

被引:14
作者
Dobrev, V. K.
机构
[1] Northumbria Univ, Sch Informat, Newcastle Upon Tyne NE1 8ST, Tyne & Wear, England
[2] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BU-1784 Sofia, Bulgaria
关键词
02; 20; Qs; 11; 25; Hf; 30; Pb;
D O I
10.1134/S1063779607050024
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页码:564 / 609
页数:46
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