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Polylogarithms, multiple zeta values and superstring amplitudes
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DOI：10.1002/prop.201300019.png)
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Abstract
En 中文
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. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Keywords:
DISK AMPLITUDE
TREE
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