2013/01/04 by J. M. Drummond, E. Ragoucy · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep08(2013)135
20 pages, 1 figure
arxiv created 2013/01/04 · arxiv updated 2015/06/12
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.