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arXiv 2608.27701hep-th

受保护ABJM理论两点函数中的普适超越结构

Universal and Transcendental Structures in Protected ABJM Two-Point Functions

Marco S. Bianchi

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中文总结 AI 辅助

研究ABJM理论受保护标量算子两点函数的两圈修正,推导适用于任意维数及多迹结构算子的紧致有限秩公式,为该类两点函数的均匀超越性提供了证据。

中文摘要 AI 辅助

我们研究ABJM理论中受保护标量算子两点函数的两圈修正,推导出适用于任意维数及多迹结构算子的紧致有限秩公式,该结果由精确树级度量与杨图上的简单核决定,平面极限简化为简单分拆规则;所需积分整理为均匀超越组合,为这些受保护两点函数的均匀超越性提供了证据。

英文摘要

We consider two-loop corrections to two-point functions of protected scalar operators in ABJM theory. We infer a compact finite-rank formula valid for operators of arbitrary dimension and multi-trace structure. The result is governed by the exact tree-level metric and a simple kernel on the Young lattice, while the planar limit reduces to a simple partition-theoretic rule. The required integrals organize into uniformly transcendental combinations, providing evidence for uniform transcendentality of these protected two-point functions.

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