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Coaction and double-copy properties of configuration-space integrals at genus zero

Coaction and double-copy properties of configuration-space integrals at genus zero

A bstract We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy structures generalizing the Kawai-Lewellen-Tye (KLT) relations in string theory. For this purpose, explicit bases of twisted cycles and cocycles are worked out whose orthonormality simplifies the coaction. We present methods …