2018/06/30 by Chih-Hao Fu, Pierre Vanhove, Yihong Wang
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Casimir element #Current algebra #Diffeomorphism #Formalism (music) #Homotopy and Cohomology in Algebraic Topology #Lie algebra #Monodromy #Operator algebra #Vertex (graph theory) #Vertex operator algebra #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep09(2018)141
25 pages. v2: minor corrections version to be published
openalex publication_date 2018/09/01 · arxiv created 2018/09/17 · openalex created_date 2018/09/27 · arxiv updated 2018/10/17 · openalex updated_date 2026/08/06
A bstract We derive a vertex operator based expression for the kinematic numerators of Yang-Mills amplitudes by applying the momentum kernel formalism to open string amplitudes. The expression involves an α ′ -weighted commutator induced by the monodromy relations between the colour ordered Yang-Mills amplitudes, which mirrors the α ′ deformed colour structure observed in open string and semi-abelian Z -theory. The kinematic algebra given by this construction contains the Lie algebra of diffeomorphism as an obvious sub-algebra.