Matches in SemOpenAlex for { <https://semopenalex.org/work/W3157156915> ?p ?o ?g. }
- W3157156915 abstract "Kinematic numerators of Yang-Mills scattering amplitudes possess a rich Lie algebraic structure that suggest the existence of a hidden infinite-dimensional kinematic algebra. Explicitly realizing such a kinematic algebra is a longstanding open problem that only has had partial success for simple helicity sectors. In past work, we introduced a framework using tensor currents and fusion rules to generate BCJ numerators of a special subsector of NMHV amplitudes in Yang-Mills theory. Here we enlarge the scope and explicitly realize a kinematic algebra for all NMHV amplitudes. Master numerators are obtained directly from the algebraic rules and through commutators and kinematic Jacobi identities other numerators can be generated. Inspecting the output of the algebra, we conjecture a closed-form expression for the master BCJ numerator up to any multiplicity. We also introduce a new method, based on group algebra of the permutation group, to solve for the generalized gauge freedom of BCJ numerators. It uses the recently introduced binary BCJ relations to provide a complete set of NMHV kinematic numerators that consist of pure gauge." @default.
- W3157156915 created "2021-05-10" @default.
- W3157156915 creator A5028727525 @default.
- W3157156915 creator A5073076526 @default.
- W3157156915 creator A5084988473 @default.
- W3157156915 creator A5091419271 @default.
- W3157156915 date "2021-04-26" @default.
- W3157156915 modified "2023-09-27" @default.
- W3157156915 title "Next-to-MHV Yang-Mills kinematic algebra" @default.
- W3157156915 cites W1493137254 @default.
- W3157156915 cites W1964396907 @default.
- W3157156915 cites W1972051047 @default.
- W3157156915 cites W1976371583 @default.
- W3157156915 cites W1982447333 @default.
- W3157156915 cites W1985605285 @default.
- W3157156915 cites W1988441141 @default.
- W3157156915 cites W1988487418 @default.
- W3157156915 cites W1988998898 @default.
- W3157156915 cites W2000430400 @default.
- W3157156915 cites W2004228327 @default.
- W3157156915 cites W2005261731 @default.
- W3157156915 cites W2007148718 @default.
- W3157156915 cites W2009623605 @default.
- W3157156915 cites W2025493540 @default.
- W3157156915 cites W2033572743 @default.
- W3157156915 cites W2034782849 @default.
- W3157156915 cites W2035105410 @default.
- W3157156915 cites W2039062178 @default.
- W3157156915 cites W2045506258 @default.
- W3157156915 cites W2056432625 @default.
- W3157156915 cites W2066653573 @default.
- W3157156915 cites W2075889841 @default.
- W3157156915 cites W2076670688 @default.
- W3157156915 cites W2077241752 @default.
- W3157156915 cites W2112032428 @default.
- W3157156915 cites W2125172832 @default.
- W3157156915 cites W2125390261 @default.
- W3157156915 cites W2134340556 @default.
- W3157156915 cites W2145852278 @default.
- W3157156915 cites W2151066314 @default.
- W3157156915 cites W2160023088 @default.
- W3157156915 cites W2254142883 @default.
- W3157156915 cites W2274470700 @default.
- W3157156915 cites W2298329059 @default.
- W3157156915 cites W2302192778 @default.
- W3157156915 cites W2472841245 @default.
- W3157156915 cites W2478568816 @default.
- W3157156915 cites W2484588179 @default.
- W3157156915 cites W2506668974 @default.
- W3157156915 cites W2526171764 @default.
- W3157156915 cites W2551238240 @default.
- W3157156915 cites W2557825378 @default.
- W3157156915 cites W2559925983 @default.
- W3157156915 cites W2560327993 @default.
- W3157156915 cites W2589284895 @default.
- W3157156915 cites W2734976000 @default.
- W3157156915 cites W2769677724 @default.
- W3157156915 cites W2800967793 @default.
- W3157156915 cites W2802344020 @default.
- W3157156915 cites W2883141559 @default.
- W3157156915 cites W2902060616 @default.
- W3157156915 cites W2903913735 @default.
- W3157156915 cites W2905827501 @default.
- W3157156915 cites W2909916817 @default.
- W3157156915 cites W2963040431 @default.
- W3157156915 cites W2964075925 @default.
- W3157156915 cites W2965744598 @default.
- W3157156915 cites W2972305337 @default.
- W3157156915 cites W2979649431 @default.
- W3157156915 cites W2983535619 @default.
- W3157156915 cites W2987870592 @default.
- W3157156915 cites W2989952239 @default.
- W3157156915 cites W2992792526 @default.
- W3157156915 cites W2993087105 @default.
- W3157156915 cites W2994862398 @default.
- W3157156915 cites W2995778790 @default.
- W3157156915 cites W3002945121 @default.
- W3157156915 cites W3015302955 @default.
- W3157156915 cites W3023613655 @default.
- W3157156915 cites W3023987805 @default.
- W3157156915 cites W3028720027 @default.
- W3157156915 cites W3029768602 @default.
- W3157156915 cites W3032757947 @default.
- W3157156915 cites W3045673906 @default.
- W3157156915 cites W3082312922 @default.
- W3157156915 cites W3082924284 @default.
- W3157156915 cites W3092412377 @default.
- W3157156915 cites W3093033045 @default.
- W3157156915 cites W3094460483 @default.
- W3157156915 cites W3094601037 @default.
- W3157156915 cites W3095957314 @default.
- W3157156915 cites W3097107983 @default.
- W3157156915 cites W3099693238 @default.
- W3157156915 cites W3100247023 @default.
- W3157156915 cites W3100499724 @default.
- W3157156915 cites W3104522313 @default.
- W3157156915 cites W3104768505 @default.
- W3157156915 cites W3104907084 @default.
- W3157156915 cites W3105611463 @default.
- W3157156915 cites W3106157124 @default.