All tree-level amplitudes in N=4 SYM
arXiv:0808.2475 · doi:10.1088/1126-6708/2009/04/018
Abstract
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.
26 pages. Boundary terms in sums corrected. Additional references. Acknowledgement added. Extended discussion. One new figure
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- Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
- Scattering in Mass-Deformed N>=4 Chern-Simons Models
- Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
- Tree-Level Amplitudes in N=8 Supergravity
- One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
- A super MHV vertex expansion for N=4 SYM theory
- One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
- Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop