从格罗斯-马内斯（Gross-Manes）到阿尔代-马尔达塞纳（Alday-Maldacena）
From Gross-Manes to Alday-Maldacena
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中文总结 AI 辅助
本文研究AdS中插值格罗斯-马内斯鞍点与阿尔代-马尔达塞纳曲面的零多边形极小曲面，结合数值与解析方法推导平直空间附近的AdS半径修正，其结果与最新预测一致，支持了bootstrap构造的世界面描述。
中文摘要 AI 辅助
极小曲面支配着弦理论中若干重要可观测量的经典极限，两个基础例子分别是平直空间中高能弦散射的格罗斯-马内斯鞍点，以及N=4超对称杨-米尔斯理论（N=4 SYM）中强耦合下胶子散射的阿尔代-马尔达塞纳曲面。本文研究AdS中一族零多边形极小曲面，通过将尖点从内部深处的小区域移至AdS边界，实现对这两种 regime 的插值。我们同时采用数值方法和（在有趣的简化极限下）解析方法开展研究，尤其推导了平直空间附近的主导AdS半径修正，并证明所得经典振幅与Alday、Armanini、Häring及Zhiboedov的最新预测一致，为其 bootstrap 构造的 underlying 世界面描述提供了支持。
英文摘要
Minimal surfaces govern the classical limit of several important observables in string theory. Two basic examples are the Gross--Manes saddle for high-energy string scattering in flat space and the Alday--Maldacena surface for gluon scattering at strong coupling in ${\cal N}=4$ SYM. In this paper we study a family of null polygonal minimal surfaces in AdS interpolating between these two regimes by moving the cusps from a small region deep in the bulk to the AdS boundary. We do this both numerically and -- in interesting simplifying limits -- analytically. In particular, we derive the leading AdS-radius correction around flat space and show that the resulting classical amplitude agrees with the recent prediction of Alday, Armanini, Häring, and Zhiboedov, supporting an underlying worldsheet description of their bootstrap construction.
