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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 119223.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Massive Representations of N=4 Higher Spin Symmetry
Authors:Beisert, Niklas; Bianchi, Massimo; Morales, Jose F.; Samtleben, Henning
Language:English
Date of Publication (YYYY-MM-DD):2004
Title of Journal:Journal of High Energy Physics
Volume:07
Sequence Number of Article:058
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:URL:http://ej.iop.org/links/q30/VgOrXo3wFIXhPHb,v1gIcQ...
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