14 citations · 27 across the 4 of their papers we have counts for
6 papers · 1 filter
Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
Multiple polylogarithms are equipped with rich algebraic structures including the motivic coaction and the single-valued map which both found fruitful applications in high-energy p…
A double copy from twisted (co)homology at genus one
Rishabh Bhardwaj, Andrzej Pokraka, Lecheng Ren +1
We study the twisted (co)homology of a family of genus-one integrals -- the so called Riemann-Wirtinger integrals. These integrals are closely related to one-loop string amplitudes…
Motivic coaction and single-valued map of polylogarithms from zeta generators
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh +3
We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. In both cases, t…
Basis decompositions of genus-one string integrals
Carlos Rodriguez, Oliver Schlotterer, Yong Zhang
One-loop scattering amplitudes in string theories involve configuration-space integrals over genus-one surfaces with coefficients of Kronecker-Eisenstein series in the integrand. A…
Open-string integrals with multiple unintegrated punctures at genus one
André Kaderli, Carlos Rodriguez
We study integrals appearing in intermediate steps of one-loop open-string amplitudes, with multiple unintegrated punctures on the -cycle of a torus. We construct a vector of su…
Coaction and double-copy properties of configuration-space integrals at genus zero
Ruth Britto, Sebastian Mizera, Carlos Rodriguez +1
We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy structures generalizing the Kawai-Lewe…