发表机构
Ayatollah Boroujerdi University（阿亚图拉·博鲁杰迪大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在爱因斯坦-莫德麦克斯理论中研究电磁对偶对全息复杂度的敏感性，发现物质敏感泛函能区分具有相同几何的电磁构型，展示了广义全息复杂度的自由度。
AI 中文摘要
我们通过爱因斯坦-莫德麦克斯理论中的“复杂度=任何事物”框架，研究电磁对偶作为全息复杂度信息内容敏感性的诊断工具。仅由引力不变量构造的泛函具有对偶不变性，而对物质敏感的泛函能够区分具有相同体几何和能量-动量张量的电磁构型。作为一个具体例子，我们考虑涉及$F_{\mu\nu}F^{\mu\nu}$的泛函，并展示其复杂度及复杂度增长率沿对偶轨道变化，在纯电、电磁混合和纯磁构型之间插值。这为广义全息复杂度中固有的自由度提供了明确实现，并表明即使引力几何对该信息不敏感，不同复杂度泛函的选择也能保留对体物质部门信息的不同敏感性。
英文摘要
We investigate electromagnetic duality as a diagnostic of the sensitivity of information content of holographic complexity via "complexity=anything" in Einstein-ModMax theory. Functionals constructed solely from gravitational invariants are duality invariant, whereas matter-sensitive functionals can distinguish electromagnetic configurations that share the same bulk geometry and energy-momentum tensor. As an explicit example, we consider a functional involving $F_{μν}F^{μν}$ and show that its complexity and complexity growth vary along the duality orbit, interpolating between purely electric, mixed electric-magnetic, and purely magnetic configurations. This provides an explicit realization of the freedom inherent in generalized holographic complexity and shows that different choices of complexity functional can retain different sensitivity to information about the bulk matter sector even when the gravitational geometry is insensitive to that information.
Comments19 pages, 7 figures
