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

Broedel, Johannes; Schlotterer, Oliver; Stieberger, Stephan; Terasoma, Tomohide

doi:10.1103/PhysRevD.89.066014

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

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Schlotterer, Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1304.7304
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Citation

Broedel, J., Schlotterer, O., Stieberger, S., & Terasoma, T. (2014). All order alpha-expansion of superstring trees from the Drinfeld associator. Physical Review D, 89: 066014. doi:10.1103/PhysRevD.89.066014.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-FD05-8

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.