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Descent Equation for superloop and cyclicity of OPE

机译:OPE的超环和循环性的下降方程

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摘要

We study the so-called Descent, or Q ˉ , Equation for the null polygonal supersymmetric Wilson loop in the framework of the pentagon operator product expansion. To properly address this problem, one requires to restore the cyclicity of the loop broken by the choice of OPE channels. In the course of the study, we unravel a phenomenon of twist enhancement when passing to a cyclically shifted channel. Currently, we focus on the consistency of the all-order Descent Equation for the particular case relating the NMHV heptagon to MHV hexagon. We find that the equation establishes a relation between contributions of different twists and successfully verify it in perturbation theory making use of available bootstrap predictions for elementary pentagons.
机译:我们研究了五边形算子乘积展开框架中零多边形超对称Wilson回路的所谓Descent方程。为了正确解决这一问题,需要恢复因选择OPE通道而中断的环路的周期性。在研究过程中,我们揭示了传递到循环移位通道时扭曲增强的现象。当前,我们关注于有关NMHV七边形与MHV六角形的特殊情况下全阶下降方程的一致性。我们发现,该方程式建立了不同扭曲贡献之间的关系,并在扰动理论中成功地利用基本五边形的可用自举预测,对其进行了验证。

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