论文标题

KZB方程的两个方言:生成一环开放式积分

Two dialects for KZB equations: generating one-loop open-string integrals

论文作者

Broedel, Johannes, Kaderli, André, Schlotterer, Oliver

论文摘要

在\ rcites {mafra:2019xms, *mafra:2019dddf,Brodelel:2019gba}中提出了两种不同的构造,产生了一环开放式弦振幅中出现的属属构型空间积分的低能扩展。我们将表明,这两种方法都可以追溯到Knizhnik-Zamolodchikov-Bernard(KZB)的椭圆系统,两次是圆环。我们为迭代积分的向量提供了一个具有额外标记的点的向量,并探索了两个代数发生器出现在两个微分方程中的代数。

Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in \rcites{Mafra:2019xms, *Mafra:2019ddf, Broedel:2019gba}. We are going to show that both approaches can be traced back to an elliptic system of Knizhnik--Zamolodchikov--Bernard(KZB) type on the twice-punctured torus. We derive an explicit all-multiplicity representation of the elliptic KZB system for a vector of iterated integrals with an extra marked point and explore compatibility conditions for the two sets of algebra generators appearing in the two differential equations.

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