2020/05/20 by Sudarshan Ananth, Chetan Pandey, Saurabh Pant · 6 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Amplitude #Black Holes and Theoretical Physics #Coupling (piping) #Position and momentum space #Quadratic equation #Scattering amplitude #Spin (aerodynamics) #Supersymmetry #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1007/jhep07(2020)100
published in Journal of High Energy Physics 2020(7) (Springer Nature) · 14 pages
arxiv created 2020/05/20 · openalex created_date 2020/05/29 · openalex publication_date 2020/07/01 · arxiv updated 2020/07/21 · openalex updated_date 2026/08/05
A bstract The light-cone Hamiltonians for spin 1 and spin 2 fields, describing both the pure and the maximally supersymmetric theories, may be expressed as quadratic forms. In this paper, we show that this feature extends to light-cone higher spin theories. To first order in the coupling constant, we prove that the higher spin Hamiltonians, with and without supersymmetry, are quadratic forms. Scattering amplitude structures emerge naturally in this framework and we relate the momentum space vertex in a supersymmetric higher spin theory to the corresponding vertex in the N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 Yang-Mills theory.