Lie polynomials and a twistorial correspondence for amplitudes

• Published in: Letters in mathematical physics Vol. 111; no. 6; p. 147
• Main Authors: Frost, Hadleigh, Mason, Lionel
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.12.2021; Springer Nature B.V
• Subjects: Amplitudes; Complex Systems; Geometry; Group Theory and Generalizations; Homology; Invariants; Mathematical and Computational Physics; Momentum; Physics; Physics and Astronomy; Polynomials; Riemann manifold; Scattering; Theoretical; Twistor theory; 81T13; Lie polynomials; Scattering amplitudes

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 other theories besides). We explain how Lie polynomials naturally arise in the geometry and cohomology of M 0 , n , the mo...