The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
High Energy Physics - Theory
2021-11-16 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
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 relations arise when studying rational functions on , and prove identities that allow for arbitrary rational functions to be expanded in any given basis. Via the Cachazo-He-Yuan formulas for, these identities also lead to new formulas for gauge and gravity tree amplitudes, including formulas for so-called Bern-Carrasco-Johansson numerators, in the case of non-linear sigma model and maximal-helicity-violating Yang-Mills amplitudes.
Keywords
Cite
@article{arxiv.2111.07257,
title = {The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes},
author = {Hadleigh Frost},
journal= {arXiv preprint arXiv:2111.07257},
year = {2021}
}