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… 

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References

SHOWING 1-10 OF 14 REFERENCES

Parity Invariance For String In Twistor Space

Topological string theory with twistor space as the target makes visible some otherwise difficult to see properties of perturbative Yang-Mills theory. But left-right symmetry, which is obvious in the

Parity Invariance For Strings In Twistor Space

Topological string theory with twistor space as the target makes visible some otherwise difficult to see properties of perturbative Yang-Mills theory. But left-right symmetry, which is obvious in the

Perturbative Gauge Theory as a String Theory in Twistor Space

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier

Einstein supergravity amplitudes from twistor-string theory

This paper gives a twistor-string formulation for all tree amplitudes of Einstein (super-)gravities for and 4. Formulae are given with and without cosmological constant and with various possibilities

An Alternative String Theory in Twistor Space for N=4 Super-yang-mills

In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 super-Yang-Mills theory. Like the recent proposal of Witten, this string theory uses twistor

The S-matrix in twistor space

The marvelous simplicity and remarkable hidden symmetries recently uncovered in (Super) Yang-Mills and (Super)Gravity scattering amplitudes strongly suggests the existence of a “weak-weak” dual

Scattering amplitudes and Wilson loops in twistor space

This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using

Scattering amplitudes and BCFW recursion in twistor space

Twistor ideas have led to a number of recent advances in our understanding of scattering amplitudes. Much of this work has been indirect, determining the twistor space support of scattering

On the tree level S matrix of Yang-Mills theory

In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P^{3|4}, emphasizing that the problem of

A 'Twistor String' Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA

We propose a new formulation of the complete tree-level S-matrix of N = 8 supergravity. The new formula for n particles in the k R-charge sector is an integral over the Grassmannian G(2,n) and uses