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arxiv: 1304.7304 · v2 · pith:IELAIJS4new · submitted 2013-04-26 · ✦ hep-th · math.NT

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

classification ✦ hep-th math.NT
keywords alphaassociatordrinfeldexpansionnumberstringsuperstringamplitudes
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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.

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