Report/Journal Article

PUBDB-2017-04963

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Higher spin symmetry and $N=4 $ $SYM$

Beisert, N. ; Bianchi, M. ; Morales, J. F. ; Samtleben, H.

2004
Springer Berlin

This record in other databases:      

Please use a persistent id in citations: doi:10.1088/1126-6708/2004/07/058

Report No.: AEI-2004-025; DESY-04-058; ROM2F-04-08; hep-th/0405057

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.

Keyword(s): gauge field theory: SU(N) ; supersymmetry ; partition function ; operator: algebra ; algebra: representation ; particle: multiplet

Note: Theoretische Physik

---

Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

---

Database coverage:
; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

---