Exacting N=4 Superconformal Symmetry

Details Exacting N=4 Superconformal Symmetry Exacting N=4 Superconformal Symmetry

2009-05-22

arxiv.org/abs/0905.3738v3

JHEP 0911:056,2009

Physics

High Energy Physics

High Energy Physics - Theory

47 pages. v2: minor corrections, clarifications and additions; algebraic derivation of {S,Sbar}=K, v3: section 4.4 restored (i

Scientific paper

10.1088/1126-6708/2009/11/056

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.

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