Abstract

In this contribution the tree-level effective actions for gluons and gravitons, as derived from Open and Closed Superstring theories, are reviewed respectively. As known for a long time, at zero order in α′ (the string fundamental constant) the first action is pure Yang-Mills while the second one is pure Einstein-Hilbert. The first Superstring Theory corrections turn up to appear at [Formula: see text] order in the first case while they appear at [Formula: see text] in the second one, as known from the three and four-point scattering amplitudes for gluons and gravitons, respectively. Recent work involving the [Formula: see text] order contributions to the Yang-Mills action is reviewed with some detail, including the authors' present line of research. Also, the uncharted territory of five graviton scattering is commented, looking forward to derive the [Formula: see text] Superstring Theory corrections to the Einstein-Hilbert action.

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