String theory and the mapping of gravity into gauge theory

Abstract

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 $O({\alpha }^{\prime 3})$) 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.

7 pages, format RevTeX4, no figures, typos corrected

References in corpus (1)

• Perturbative Quantum Gravity and its Relation to Gauge Theory

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