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Gravity from Rational Curves in Twistor Space

Gravity from Rational Curves in Twistor Space

This Letter presents a new formula which is conjectured to yield all tree amplitudes in $\mathcal{N}=8$ supergravity. The amplitudes are described in terms of higher degree rational maps to twistor space. The resulting expression has manifest $\mathcal{N}=8$ supersymmetry and is manifestly permutation symmetric in all external states. It depends monomially …