26 citations · 55 across the 6 of their papers we have counts for
7 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…
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…
Amplitudes at strong coupling as hyperkähler scalars
Hadleigh Frost, Ömer Gürdogan, Lionel Mason
Alday & Maldacena conjectured an equivalence between string amplitudes in AdS and null polygonal Wilson loops in planar super-Yang-Mills (SYM). At st…
The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
Hadleigh Frost
We study the Kawai-Lewellen-Tye (KLT) relations for quantum field theory by reformulating it as an isomorphism between two Lie algebras. We also show how explicit formulas for KLT…
A Lie bracket for the momentum kernel
Hadleigh Frost, Carlos R. Mafra, Lionel Mason
We develop new mathematical tools for the study of the double copy and colour-kinematics duality for tree-level scattering amplitudes using the properties of Lie polynomials. We sh…
Lie Polynomials and a Twistorial Correspondence for Amplitudes
Hadleigh Frost, Lionel Mason
We review Lie polynomials as a mathematical framework that underpins the structure of the so-called double copy relationship between gauge and gravity theories (and a network of ot…
Biadjoint scalar tree amplitudes and intersecting dual associahedra
Hadleigh Frost
We present a new formula for the biadjoint scalar tree amplitudes based on the combinatorics of dual associahedra. Our construction makes essential use of the cones in 'ki…