Higher Spin Symmetry and N = 4 SYM
نویسندگان
چکیده
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 g YM = 0, YT-pletons decompose into infinite towers of representations of the superconfor-mal 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 anomalous dimensions to lowest non-trivial order in g 2 YM N at large N. We then focus on operators/states sitting in semishort multiplets of psu(2, 2|4). By passing them through a semishort-sieve that removes superde-scendants, we derive compact expressions for the partition function of semishort primaries.
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