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Gravity from Rational Curves

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arxiv 1207.0741 v1 pith:AAKSN7C6 submitted 2012-07-03 hep-th gr-qc

Gravity from Rational Curves

Freddy Cachazo , David Skinner This is my paper
classification hep-th gr-qc
keywords amplitudesformulaexplicitlyexpressionexternalrationalstatestwistor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This paper 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 Poincare. The formula has been explicitly checked to yield the correct amplitudes for the 3-point MHV-bar and for the n-point MHV, where it reduces to an expression of Hodges. We have also carried out numerical checks of the formula at NMHV and NNMHV level, for up to eight external states.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Schwarzschild black holes from twistor space

    hep-th 2026-07 conditional novelty 8.0

    The Schwarzschild metric is derived as a Kähler metric on a holomorphic 'coincidence locus' within the twistor space of self-dual Taub-NUT, solving the googly problem for this specific spacetime.

  2. Graviton scattering on self-dual black holes

    hep-th 2025-07 unverdicted novelty 8.0

    Exact tree-level MHV graviton scattering amplitudes at arbitrary multiplicity are obtained on self-dual Taub-NUT backgrounds using twistor theory, including spin via Newman-Janis shift, with undeformed celestial symmetries.

  3. Multi-Particle Contributions to the Celestial Algebra in the ${\cal N}=8$ Supergravity

    hep-th 2026-07 conditional novelty 5.0

    Multi-particle OPEs of single-particle celestial operators with two-particle operators in N=8 supergravity yield ninety-five (anti)commutators of the soft current algebra plus amplitude relations.