论文标题

旋转六角形

Spinning Hexagons

论文作者

Bercini, Carlos, Goncalves, Vasco, Homrich, Alexandre, Vieira, Pedro

论文摘要

我们通过六边形形式主义减少了三个具有任意极化为统计力学问题的旋转运算符的三个点功能的计算。这些相关函数的中心构建块是六边形分区函数。我们探索其分析结构,并使用它来生成用于旋转三个点功能的扰动数据。对于某些极化和任何耦合,我们以决定词形式表达完整的渐近三点函数。通过建立的一致性方法,我们打开了研究较大的自旋极限,其中必须出现带有Null Wilson循环和可集成的五角星的双重性。

We reduce the computation of three point function of three spinning operators with arbitrary polarizations to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. With the integrability approach established we open the ground to study the large spin limit where dualities with null Wilson loops and integrable pentagons must appear.

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