Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions

Abstract

We calculate one-loop scattering amplitudes for gravitons and two-forms in dimensions greater than four. The string based Kawai-Lewellen-Tye relationships allow gravitons and two-forms to be treated in a unified manner. We use the results to determine the ultra-violet infinities present in these amplitudes and show how these determine the renormalised one-loop action in six and eight dimensions.

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