Graphs, determinants and gravity amplitudes

TY - JOUR

T1 - Graphs, determinants and gravity amplitudes

AU - Feng, Bo

AU - He, Song

PY - 2012/10/1

Y1 - 2012/10/1

N2 - We apply the matrix-tree theorem to establish a link between various dia- grammatic 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 N = 4 supergravity into a matrix form.

AB - We apply the matrix-tree theorem to establish a link between various dia- grammatic 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 N = 4 supergravity into a matrix form.

U2 - 10.1007/jhep10(2012)121

DO - 10.1007/jhep10(2012)121

M3 - Journal article

SN - 1126-6708

VL - 2012

SP - 121

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 10

ER -