报告题目：Kinematic algebra for BCJ numerators beyond the MHV sector
报告人：陈刚 （Uppsala University）
报告摘要：The property of color-kinematics duality in scattering amplitudes of Yang-Mills theory strongly suggest the existence of a hidden kinematic Lie algebra that controls the gauge theory. While associated BCJ numerators are known on closed form to any multiplicity at tree level, the kinematic algebra has only been partially explored for the simplest of four-dimensional amplitudes: up to the MHV sector. In this paper we introduce a systematic method that allows us to characterize the algebra beyond the MHV sector. This includes both the determination of uniqueness properties of the kinematic algebra, and controlling the generalized gauge freedom that is associated with the BCJ numerators. Specifically, in this paper, we determine a next-to-MHV kinematic algebra that is unique given certain assumptions. This is achieved by the introduction of tensor currents that generalize standard Yang-Mills vector currents. These tensor currents controls the generalized gauge freedom, allowing us to generate multiple different versions of BCJ numerators from the same kinematic algebra.