Speaker: Maria Kallimani (HU Berlin)

Title: Kinematic algebras, ideally

Abstract:
Color-kinematics duality is the statement that gauge theory amplitude numerators factorize into a color- and a kinematic- related term, both of which obey Jacobi identities. As the color Jacobi identity originates from the Lie algebra of the gauge group, the kinematic one stems from a kinematic algebra, which is however not straightforwardly obtained at the off-shell level. In this talk, I will review how these kinematic algebras can be formulated in an off-shell and gauge invariant manner in the framework of homotopy algebras. Moreover, I will propose a method for their construction out of strict structures, making use of the de Rham complex of differential forms. I will apply this to the case of self-dual Yang-Mills theory, for which the structure maps of the kinematic algebra can be derived at arbitrary order.