Abstract
We investigate a pattern in the α′ expansion of tree-level open superstring amplitudes which correlates the appearance of higher depth multiple zeta values with that of simple zeta values in a particular way. We rephrase this relationship in terms of the coaction on motivic multiple zeta values and show that the pattern takes a very simple form, which can be simply explained by relating the amplitudes to the Drinfel’d associator derived from the Knizhnik-Zamolodchikov equation. Given this correspondence we show that, at least in the simplest case of the four-point amplitude, the associator can be used to extract the form of the amplitude.
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ArXiv ePrint: 1301.0794
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Drummond, J.M., Ragoucy, E. Superstring amplitudes and the associator. J. High Energ. Phys. 2013, 135 (2013). https://doi.org/10.1007/JHEP08(2013)135
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DOI: https://doi.org/10.1007/JHEP08(2013)135