All order ${\ensuremath{\alpha}}^{\ensuremath{'}}$-expansion of superstring trees from the Drinfeld associator

All order $α^{'}$ -expansion of superstring trees from the Drinfeld associator

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

Phys. Rev. D 89, 066014 – Published 24 March 2014

Abstract

We derive a recursive formula for the $α^{'}$ 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 to any number of spacetime dimensions or supersymmetries and chosen helicity configurations.

Received 10 July 2013

DOI:https://doi.org/10.1103/PhysRevD.89.066014

Authors & Affiliations

Johannes Broedel¹, Oliver Schlotterer^2,3, Stephan Stieberger⁴, and Tomohide Terasoma⁵

¹Institut für theoretische Physik, Eidgenössische Technische Hochschule Zürich, 8093 Zürich, Switzerland
²Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, 14476 Potsdam, Germany
³Department of Applied Mathematics and Theoretical Physics, Cambridge CB3 0WA, United Kingdom
⁴Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805 München, Germany
⁵Department of Mathematical Science, University of Tokyo, Komaba 3-8-1, Meguro, Tokyo 153, Japan

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Vol. 89, Iss. 6 — 15 March 2014

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Physical Review D

covering particles, fields, gravitation, and cosmology

All order $α^{'}$ -expansion of superstring trees from the Drinfeld associator

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

Phys. Rev. D 89, 066014 – Published 24 March 2014

Abstract

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Physical Review D

covering particles, fields, gravitation, and cosmology

All order α′-expansion of superstring trees from the Drinfeld associator

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

Phys. Rev. D 89, 066014 – Published 24 March 2014

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All order $α^{'}$ -expansion of superstring trees from the Drinfeld associator