String theory and the mapping of gravity into gauge theory

The relationship between on-shell tree level scattering amplitudes of open and closed strings, discovered some time ago by Kawai, Lewellen and Tye, is used at field theory level (at O(alpha'(3))) to establish a link between the general relativity and the non-Abelian Yang-Mills effective actions. Insisting at the effective Lagrangian level that any tree N point gravity on-shell scattering amplitude is directly factorisable into a sum of N point left-right products of non-Abelian Yang-Mills tree on-shell scattering amplitudes, non-trivial mappings of the effective general relativity operators into the effective non-Abelian Yang-Mills operators are derived. Implications of such mapping relations of the field operators are discussed. (C) 2003 Published by Elsevier Science B.V.