Higher Spin Symmetry andN=4 SYM

2004/05/31 by Niklas Beisert, Massimo Bianchi, Jose F. Morales +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/07/058

published as JHEP 0407:058,2004 · 38 pages, no figures. v2: references added

openalex publication_date 2004/07/27 · arxiv created 2004/09/10 · arxiv updated 2011/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Superconformal Field Theories, Multiplet Shortening, and the AdS₅/SCFT₄ Correspondence
• Untwisting the twistor superstring
• Notes On Higher Spin Symmetries
• DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory
• Novel supermultiplets of SU (2, 2|4) and the AdS5/CFT4 duality
• Classical and Quantized Tensionless Strings
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• supersymmetric theory of higher spin gauge fields in AdS5 at the cubic level
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Baryons And Branes In Anti de Sitter Space
• Nonlinear higher spin theories in various dimensions
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge

Cited by

• The dilatation operator of N=4 super Yang–Mills theory and integrability
• On the deep string spectrum