Higher Spin Symmetry and N=4 SYM
Abstract
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.
Cite
@article{arxiv.hep-th/0405057,
title = {Higher Spin Symmetry and N=4 SYM},
author = {Niklas Beisert and Massimo Bianchi and Jose F. Morales and Henning Samtleben},
journal= {arXiv preprint arXiv:hep-th/0405057},
year = {2011}
}
Comments
38 pages, no figures. v2: references added