pith. sign in

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

Johannes Broedel , Oliver Schlotterer , Stephan Stieberger , Tomohide Terasoma This is my paper
classification ✦ hep-th math.NT
keywords alphaassociatordrinfeldexpansionnumberstringsuperstringamplitudes
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Twisted de Rham theory for string double copy in AdS

    hep-th 2025-12 conditional novelty 8.0

    Noncommutative twisted de Rham theory derives the intersection number of open-string contours whose inverse is the double-copy kernel for four-point AdS string generating functions.

  2. Resurgence of high-energy string amplitudes

    hep-th 2026-04 unverdicted novelty 7.0

    High-energy string amplitudes have asymptotic expansions governed by Bernoulli numbers, upgraded via resurgence to transseries whose Stokes data encode non-perturbative monodromy between kinematic regions.

  3. String Theory from Maximal Supersymmetry

    hep-th 2026-01 unverdicted novelty 7.0

    Supersymmetry, R-symmetry, and positivity constrain planar 4d EFTs to match the open string Veneziano amplitude at tree level.

  4. $D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions

    hep-ph 2025-11 unverdicted novelty 7.0

    A modular assembly method constructs D-dimensional higher-derivative four-point amplitudes involving fermions from gauge-invariant blocks, color factors, and permutation-invariant scalar polynomials.

  5. Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes

    hep-th 2026-07 unverdicted novelty 6.0

    Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse op...

  6. Single-valued polylogarithms for higher genera

    hep-th 2026-06 unverdicted novelty 6.0

    Single-valued polylogarithms are constructed on higher-genus once-punctured Riemann surfaces with trivial monodromy, related to prior work and used to identify the Arakelov Green's function.