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000324785 0881_ $$ahep-th/0405057; AEI-2004-025; ROM2F-04-08; DESY-04-058
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000324785 1001_ $$0INSPIRE-00065672$$aBeisert, Niklas$$b0
000324785 245__ $$aHigher spin symmetry and $N=4 $  $SYM$
000324785 260__ $$aBerlin$$bSpringer$$c2004
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000324785 500__ $$aTheoretische Physik
000324785 520__ $$aWe assemble the spectrum of single-trace operators in free N=4 SU(N) SYM theory into irreducible representations of the Higher Spin symmetry algebra hs(2,2|4). Higher Spin representations or YT-pletons are associated to Young tableaux (YT) corresponding to representations of the symmetric group compatible with the cyclicity of color traces. After turning on interactions, YT-pletons decompose into infinite towers of representations of the superconformal algebra PSU(2,2|4) and anomalous dimensions are generated. We work out the decompositions of tripletons with respect to the N=4 superconformal algebra PSU(2,2|4) and compute their one anomalous dimensions at large N. We then focus on operators/states sitting in semishort superconformal multiplets. By passing them through a semishort-sieve that removes superdescendants, we derive compact expressions for the partition function of semishort primaries.
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000324785 650_7 $$2INSPIRE$$agauge field theory: SU(N)
000324785 650_7 $$2INSPIRE$$asupersymmetry
000324785 650_7 $$2INSPIRE$$apartition function
000324785 650_7 $$2INSPIRE$$aoperator: algebra
000324785 650_7 $$2INSPIRE$$aalgebra: representation
000324785 650_7 $$2INSPIRE$$aparticle: multiplet
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000324785 7001_ $$0P:(DE-HGF)0$$aBianchi, Massimo$$b1
000324785 7001_ $$0P:(DE-HGF)0$$aMorales, Jose F.$$b2
000324785 7001_ $$0P:(DE-HGF)0$$aSamtleben, Henning$$b3
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