美国华盛顿大学Paquette, Natalie M.团队近日研究了扭曲线的散射缺陷。2025年5月28日出版的《高能物理杂志》发表了这一最新研究成果。

最近设计的手征代数引导计算了一类特殊的“扭曲”4d QFT的形状因子，作为该理论的2d天体手征代数的相关函数。扭曲理论的例子包括耦合到特殊无质量物质含量的自对偶杨米尔斯理论，这些理论中的某些形状因子等效于耦合到同一物质的无质量QCD中MHV振幅的子集。

研究组使用扭曲理论中的自对偶动态子作为主要例子，将手征代数引导扩展到包括带电源存在下的散射。在这种源存在的情况下，自对偶理论提升到非豪斯多夫扭曲空间上的全纯规范理论，研究组将Costello和Paquette的Koszul对偶结构推广到这种情况。通过这种方法，可以很容易地再现Adamo、Bogna、Mason和Sharma最近关于胶子从自对偶动态子上的n点MHV散射的公式。

附：英文原文

Title: Scattering off of twistorial line defects

Author: Garner, Niklas, Paquette, Natalie M.

Issue&Volume: 2025-05-28

Abstract: The recently devised chiral algebra bootstrap computes the form factors of a special class of “twistorial” 4d QFTs as correlation functions of the theory’s 2d celestial chiral algebra. Examples of twistorial theories include self-dual Yang-Mills theory coupled to special massless matter content, and certain form factors in these theories are equivalent to a subset of MHV amplitudes in massless QCD, coupled to the same matter. In this paper, we extend the chiral algebra bootstrap to include scattering in the presence of charged sources, using a self-dual dyon in a twistorial theory as our main example. Self-dual theories in the presence of such sources lift to holomorphic gauge theories on non-Hausdorff twistor space, and we generalize the Koszul duality construction of Costello and Paquette to this setting. With this approach, we easily reproduce a recent formula of Adamo, Bogna, Mason, and Sharma for n-point MHV scattering of gluons off the self-dual dyon.

DOI: 10.1007/JHEP05(2025)228

Source: https://link.springer.com/article/10.1007/JHEP05(2025)228