title: Equivalent D = 3 supergravity amplitudes from double copies of three-algebra and two-algebra gauge theories.
abstract: We show that three-dimensional supergravity amplitudes can be obtained as double copies of either three-algebra super-Chern-Simons matter theory or 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. We explicitly verify the double-copy correspondence at four and six points for N = 12,10,8 supergravity theories and discuss its validity for all multiplicity.
authors.affiliation: Michigan Center for Theoretical Physics, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.
authors.forename: Yu-tin
authors.initials: YT
authors.lastname: Huang
authors.forename: Henrik
authors.initials: H
authors.lastname: Johansson