Higher Spin Symmetry and N=4 SYM

Details Higher Spin Symmetry and N=4 SYM Higher Spin Symmetry and N=4 SYM

2004-05-07

arxiv.org/abs/hep-th/0405057v3

JHEP 0407:058,2004

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, no figures. v2: references added

Scientific paper

10.1088/1126-6708/2004/07/058

We 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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