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Gravity from Rational Curves · Around

2012

Gravity from Rational Curves

Cachazo, Freddy, Skinner, David

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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.

Built on

A. Hodges, A Simple Formula for Gravitational MHV Amplitudes, [ arXiv:1204.1930
Original
1930
Earlier work this paper cites.
E. Witten, Perturbative Gauge Theory as a String Theory in Twistor Space, Commun. Math. Phys
2004
Earlier work this paper cites.
N. Berkovits, An Alternative String Theory in Twistor Space for 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills, Phys. Rev. Lett
2004
Earlier work this paper cites.

Similar

R. Roiban, M. Spradlin, and A. Volovich, On the Tree-Level S-Matrix of Yang-Mills Theory, Phys. Rev
2004
Cited alongside, same era.
E. Witten, Parity Invariance for Strings in Twistor Space, Adv. Theor. Math. Phys
2004
Cited alongside, same era.
N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-Matrix in Twistor Space, JHEP
Original
2010
Cited alongside, same era.
A. Hodges, New Expressions for Gravitational Scattering Amplitudes, [ arXiv:1108.2227
Original
Cited in the paper.
F. Cachazo, Fundamental BCJ Relation from the Connected Formulation, [ arXiv:1206.5970
Original
Cited in the paper.
F. Cachazo and Y. Geyer, A ‘Twistor String’ Inspired Formula for Tree-Level Scattering Amplitudes in 𝒩 = 8 \mathcal{N}=8 Supergravity, [ arXiv:1206.6511
Original
Cited in the paper.

Then

T. Adamo, M. Bullimore, L. Mason, and D. Skinner, Scattering Amplitudes and Wilson Loops in Twistor Space, J. Phys
Original
2011
Later among the works it cites.
T. Adamo and L. Mason, Einstein Supergravity Amplitudes from Twistor-String Theory, Class. Quant. Grav
Original
2012
Closest in time.
L. Mason and D. Skinner, Scattering Amplitudes and BCFW Recursion in Twistor Space, JHEP
Original
2083
Closest in time.

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