English

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

High Energy Physics - Theory 2014-04-02 v2 Number Theory

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.

Keywords

Cite

@article{arxiv.1304.7304,
  title  = {All order alpha'-expansion of superstring trees from the Drinfeld associator},
  author = {Johannes Broedel and Oliver Schlotterer and Stephan Stieberger and Tomohide Terasoma},
  journal= {arXiv preprint arXiv:1304.7304},
  year   = {2014}
}

Comments

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