The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Frost, Hadleigh
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211426
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes. Hadleigh Frost. SIGMA 17 (2021), 101, 23 pages

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 ℳ₀,ₙ, and prove identities that allow for arbitrary rational functio...