Massive Representations of N=4 Higher Spin Symmetry

Beisert, Niklas; Bianchi, Massimo; Morales, Jose F.; Samtleben, Henning

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Massive Representations of N=4 Higher Spin Symmetry

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Beisert, Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beisert, N., Bianchi, M., Morales, J. F., & Samtleben, H. (2004). Massive Representations of N=4 Higher Spin Symmetry. Journal of High Energy Physics, 2004(7): 058. Retrieved from http://ej.iop.org/links/q30/VgOrXo3wFIXhPHb,v1gIcQ/jhep112004059.pdf.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5112-D

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.