1210.2255 (Yu-tin Huang et al.)

Equivalent D=3 Supergravity Amplitudes from Double Copies of
Three-Algebra and Two-Algebra Gauge Theories    [PDF]

Yu-tin Huang, Henrik Johansson

We show that three-dimensional supergravity amplitudes can be obtained as double copies of either three-algebra super-Chern-Simons matter theory or that of two-algebra super-Yang-Mills theory, when either theory is organized to display the color-kinematics duality. We prove that only helicity-conserving four-dimensional gravity amplitudes have nonvanishing descendants when reduced to three dimensions; implying the vanishing of odd-multiplicity S-matrix elements, in agreement with Chern-Simons matter theory. Using three-dimensional on-shell recursion we prove that the tree-level S-matrices of the two double-copy constructions coincide, assuming the existence of color-kinematics duality. We verify this correspondence at six points for N=12,10,8 supergravity theories.

View original: http://arxiv.org/abs/1210.2255