Abstract
This paper is dedicated to the amazing Kawai-Lewellen-Tye relations, connecting perturbative gravity and gauge theories at tree level. The main focus is onn-point derivations and general properties both from a string theory and pure field theory point of view. In particular, the field theory part is based on some very recent developments.
Highlights
In 1985, Kawai, Lewellen, and Tye KLT derived an amazing relation between gravity and gauge theory tree-level amplitudes 1–19
The first part involved a rather detailed derivation from string theory, showing how to factorize the closed string integrals into two separate sectors which were deformed into expressions corresponding to products of open string amplitudes
The second part focused on the KLT relations in the field theory limit
Summary
In 1985, Kawai, Lewellen, and Tye KLT derived an amazing relation between gravity and gauge theory tree-level amplitudes 1–19 This was done by factorizing a closed string into a sum of products between two open strings. Such recursion relations have been extended to string theory 28, and even to the integrand of multiloop amplitudes in planar N 4 SYM , see Another interesting structure, that is going to be essential in this paper, appeared in 2008, when Bern, Carrasco, and Johansson BCJ found a curious color-kinematic duality for gauge theory amplitudes 32.
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