Explicit character formulae for positive energy unitary irreducible representations of D = 4 conformal supersymmetry

This paper continues the project of constructing the character formulae for the positive energy unitary irreducible representations of the N-extended D = 4 conformal superalgebras su(2, 2 N). In the first paper we gave the bare characters which represent the defining odd entries of the characters. N...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 46; no. 40; pp. 405202 - 37
Main Author Dobrev, V K
Format Journal Article
LanguageEnglish
Published IOP Publishing 11.10.2013
Subjects
character
conformal superalgebra
Construction
Energy of formation
Mathematical analysis
Representations
Supersymmetry
unitary representations
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Summary:This paper continues the project of constructing the character formulae for the positive energy unitary irreducible representations of the N-extended D = 4 conformal superalgebras su(2, 2 N). In the first paper we gave the bare characters which represent the defining odd entries of the characters. Now we give the full explicit character formulae for N = 1 and for several important examples for N = 2 and N = 4.
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ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/46/40/405202