2012/10/31 by Yu-tin Huang, Henrik Johansson · 83 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Duality (order theory) #Mathematical analysis #Mathematical physics #Mathematics #Multiplicity (mathematics) #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevlett.110.171601
published in Physical Review Letters 110(17), 171601 (American Physical Society) · 5 pages, published version in PRL
arxiv created 2013/04/22 · openalex publication_date 2013/04/23 · arxiv updated 2013/05/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.