# Gravity from rational curves in twistor space.

@article{Cachazo2013GravityFR, title={Gravity from rational curves in twistor space.}, author={Freddy Cachazo and David Skinner}, journal={Physical review letters}, year={2013}, volume={110 16}, pages={ 161301 } }

This Letter presents a new formula which is conjectured to yield all tree amplitudes in N=8 supergravity. The amplitudes are described in terms of higher degree rational maps to twistor space. The resulting expression has manifest N=8 supersymmetry and is manifestly permutation symmetric in all external states. It depends monomially on the infinity twistor that explicitly breaks conformal symmetry to Poincaré symmetry. We have carried out various nontrivial analytic and numerical checks of the…

## 92 Citations

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Cachazo and Skinner have recently conjectured a new formula for the complete treelevel S-matrix ofN = 8 supergravity. The formula is an integral over the moduli space of rational curves in…

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