# From twistor string theory to recursion relations

@article{Spradlin2009FromTS, title={From twistor string theory to recursion relations}, author={Marcus Spradlin and Anastasia Volovich}, journal={Physical Review D}, year={2009}, volume={80}, pages={085022} }

Witten's twistor string theory gives rise to an enigmatic formula [1] known as the ``connected prescription'' for tree-level Yang-Mills scattering amplitudes. We derive a link representation for the connected prescription by Fourier transforming it to mixed coordinates in terms of both twistor and dual twistor variables. We show that it can be related to other representations of amplitudes by applying the global residue theorem to deform the contour of integration. For six and seven particles…

## 68 Citations

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We prove the formula for the complete tree-level S-matrix of N = 8 super- gravity recently conjectured by two of the authors. The proof proceeds by showing that the new formula satisfies the same…

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A bstractWe derive a link representation for all tree amplitudes in $ \mathcal{N}=8 $ supergravity, from a recent conjecture by Cachazo and Skinner. The new formula explicitly writes amplitudes as…

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