AI 中文总结
该研究探究超越强次可加性（SSA）的全息熵不等式对具有半经典全息描述的重整化群流的约束作用，发现其确实能约束纠缠，但未得到F函数的第二个普适类似物。
AI 中文摘要
普通光锥上的强次可加性（SSA）为三维F定理提供了Casini-Huerta熵证明。我们探究超越SSA的全息熵不等式是否同样能约束每一个中间理论均具有半经典全息描述的重整化群（RG）流。针对普通光锥区域的小的不相交形变，我们证明一类广泛的平衡全息不等式的二阶响应仅取决于SSA已控制的两两关联。一个六体示例表明，完整的有限不等式仍包含真正的多体信息，因此其在二阶展开中消失是二阶展开的局限，而非不等式本身的问题。两种自然的有限构造均未恢复缺失的信息。不过，我们发现两种超越SSA的信息得以保留的情形：一个五体不等式限定了当某一区域增大时条件关联的增长速率；此外，奇循环不等式的连续极限给出了对纠缠熵角形状依赖性的约束，而洛伦兹对称性将该约束与径向演化关联起来。因此，超越SSA的全息熵不等式确实能约束RG流中的纠缠，尽管我们未得到F函数的第二个普适类似物。
英文摘要
Strong subadditivity (SSA) on a common light cone gives the Casini-Huerta entropic proof of the three-dimensional $F$-theorem. We ask whether holographic entropy inequalities beyond SSA similarly constrain renormalization group flows for which every intermediate theory admits a semiclassical holographic description. For small, disjoint deformations of a common light-cone region, we show that the second-order response of a broad class of balanced holographic inequalities depends only on pairwise correlations already controlled by SSA. A six-party example shows that the full finite inequality nevertheless contains genuinely multipartite information, so its disappearance is a limitation of the second-order expansion rather than of the inequality itself. Two natural finite constructions do not recover the missing information. We nevertheless find two ways in which information beyond SSA survives. A five-party inequality bounds the rate at which a conditional correlation grows as one region is enlarged. Separately, a continuum limit of the odd-cyclic inequalities gives a constraint on the angular shape dependence of entanglement entropy, and Lorentz symmetry relates this constraint to radial evolution. Thus holographic entropy inequalities beyond SSA do constrain entanglement along RG flows, although we do not obtain a second universal analogue of the $F$-function.
Comments41 pages
