All tree-level amplitudes in N=4 SYM

Details All tree-level amplitudes in N=4 SYM All tree-level amplitudes in N=4 SYM

2008-08-19

arxiv.org/abs/0808.2475v4

JHEP 0904:018,2009

Physics

High Energy Physics

High Energy Physics - Theory

26 pages. Boundary terms in sums corrected. Additional references. Acknowledgement added. Extended discussion. One new figure

Scientific paper

10.1088/1126-6708/2009/04/018

We give an explicit formula for all tree amplitudes in N=4 SYM, derived by solving the recently presented supersymmetric tree-level recursion relations. The result is given in a compact, manifestly supersymmetric form and we show how to extract from it all possible component amplitudes for an arbitrary number of external particles and any arrangement of external particles and helicities. We focus particularly on extracting gluon amplitudes which are valid for any gauge theory. The formula for all tree-level amplitudes is given in terms of nested sums of dual superconformal invariants and it therefore manifestly respects both conventional and dual superconformal symmetry.

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