2009/05/31 by Till Bargheer, Niklas Beisert, W. Gall茅as +3 路 4 citations
Physics and Astronomy 路 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th
paper 路 pdf 路 doi:10.1088/1126-6708/2009/11/056
published as JHEP 0911:056,2009 路 47 pages. v2: minor corrections, clarifications and additions; algebraic derivation of {S,Sbar}=K, v3: section 4.4 restored (it was dropped by mistake in v2), minor corrections, to appear in JHEP
arxiv created 2009/11/02 路 openalex publication_date 2009/11/11 路 arxiv updated 2009/12/01 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/28
Tree level scattering amplitudes in N=4 super Yang-Mills theory are almost, but not exactly invariant under the free action of the N=4 superconformal algebra. What causes the non-invariance is the holomorphic anomaly at poles where external particles become collinear. In this paper we propose a deformation of the free superconformal representation by contributions which change the number of external legs. This modified classical representation not only makes tree amplitudes fully invariant, but it also leads to additional constraints from symmetry alone mediating between hitherto unrelated amplitudes. Moreover, in a constructive approach it appears to fully constrain all tree amplitudes when combined with dual superconformal alias Yangian symmetry.