A Link Representation for Gravity Amplitudes

He, Song

doi:10.1007/JHEP10(2013)139

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A Link Representation for Gravity Amplitudes

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He, Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1207.4064
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JHEP2013_10_139.pdf
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He, S. (2013). A Link Representation for Gravity Amplitudes. Journal of high energy physics: JHEP, 2013(10): 139. doi:10.1007/JHEP10(2013)139.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-E67B-E

Abstract

We derive a link representation for all tree amplitudes in N=8 supergravity, from a recent conjecture by Cachazo and Skinner. The new formula explicitly writes amplitudes as contour integrals over constrained link variables, with an integrand naturally expressed in terms of determinants, or equivalently tree diagrams. Important symmetries of the amplitude, such as supersymmetry, parity and (partial) permutation invariance, are kept manifest in the formulation. We also comment on rewriting the formula in a GL(k)-invariant manner, which may serve as a starting point for the generalization to possible Grassmannian contour integrals.