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

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arxiv 1304.7304 v2 pith:IELAIJS4 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
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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