All order alpha'-expansion of superstring trees from the Drinfeld associator

Abstract

We derive a recursive formula for the alpha'-expansion of superstring tree amplitudes involving any number N of massless open string states. String corrections to Yang-Mills field theory are shown to enter through the Drinfeld associator, a generating series for multiple zeta values. Our results apply for any number of spacetime dimensions or supersymmetries and chosen helicity configurations.

6 pages, LaTeX; v2: Final version to appear in PRD

References in corpus (6)

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