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Graphs, determinants and gravity amplitudes · Around

2012

Graphs, determinants and gravity amplitudes

Feng, Bo, He, Song

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We apply the matrix-tree theorem to establish a link between various diagrammatic and determinant expressions, which naturally appear in scattering amplitudes of gravity theories.

Using this link we are able to give a general graph-theoretical formulation for the tree-level maximally-helicity-violated gravity amplitudes.
Furthermore, we use the link to prove two identities for half-soft functions of gravity amplitudes.
Finally we recast the diagrammatic formulation of one-loop rational part of $\mathcal{N}=4$ supergravity into a matrix form.

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