Polylogarithms, Multiple Zeta Values and Superstring Amplitudes

Broedel, Johannes; Schlotterer, Oliver; Stieberger, Stephan

doi:10.1002/prop.201300019

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Polylogarithms, Multiple Zeta Values and Superstring Amplitudes

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

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1304.7267
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FdP61_812.pdf
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Citation

Broedel, J., Schlotterer, O., & Stieberger, S. (2013). Polylogarithms, Multiple Zeta Values and Superstring Amplitudes. Fortschritte der Physik/Progress of Physics, 61(9), 812 -870. doi:10.1002/prop.201300019.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-FD02-E

Abstract

A formalism is provided to calculate tree amplitudes in open superstring theory for any multiplicity at any order in the inverse string tension. We point out that the underlying world-sheet disk integrals share substantial properties with color-ordered tree amplitudes in Yang-Mills field theories. In particular, we closely relate world-sheet integrands of open-string tree amplitudes to the Kawai-Lewellen-Tye representation of supergravity amplitudes. This correspondence helps to reduce the singular parts of world-sheet disk integrals -including their string corrections- to lower-point results. The remaining regular parts are systematically addressed by polylogarithm manipulations.