Superstring amplitudes and the associator
Superstring amplitudes and the associator
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超弦振幅和关联器
DOI：
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发表时间：
2013
影响因子：
5.4
通讯作者：
E. Ragoucy
中科院分区：
文献类型：
--
作者：
J. M. Drummond;J. M. Drummond;E. Ragoucy
我们研究了树级开超弦振幅α′展开的一种模式，它以一种特殊的方式将更高深度的多重zeta值的出现与简单zeta值的出现联系起来。我们重新措辞这种关系的motivic多zeta值的相互作用方面，并表明，该模式采取了一个非常简单的形式，这可以简单地解释有关的振幅Drinfel'd协从Knizhnik-Zamolodchikov方程。给出这种对应关系，我们表明，至少在最简单的情况下，四点振幅，结合子可以用来提取的形式的振幅。
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.