全息互信息的单婚量子修正
Monogamous quantum corrections to holographic mutual information
- Universidad Politécnica de Cartagena（卡塔赫纳理工大学）
- Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文构建AdS中体互信息的广延模型，证明其广延性足以使量子修正边界熵向量满足单婚性及全息熵锥不等式，并用自由有质量狄拉克费米子实现，在AdS$_3$共形不动点处给出精确结果。
AI中文摘要：
我们在反德西特时空中构建了一个体互信息（MI）的广延模型，并用它来描述某些全息理论中MI的领先量子修正。体与边界MI之间的等价性遵循Faulkner--Lewkowycz--Maldacena规则。我们证明，体MI的广延性足以使量子修正的边界熵向量满足MI的单婚性以及所有其他全息熵锥不等式。我们的模型由AdS中一个协变守恒的流-流核构建，并由一个自由有质量狄拉克费米子显式实现，其长距离边界MI为费米型广义自由场（GFF）的MI。该构造还再现了GFF预期的短距离发散结构，且流-流关联函数定义了重整化群流上正值且单调递减的函数。我们在AdS$_3$中模型的共形不动点处，对不相交半圆盘明确展示了这一性质，并给出了精确结果。
英文摘要：
We construct an extensive model of bulk mutual information (MI) in anti-de Sitter spacetime and use it to describe the leading quantum corrections to the MI of certain holographic theories. The equivalence between bulk and boundary MI follows from the Faulkner--Lewkowycz--Maldacena prescription. We show that the extensivity of the bulk MI is sufficient for the quantum-corrected boundary entropy vector to satisfy monogamy of MI and all other holographic entropy cone inequalities. Our model is built from a covariantly conserved current-current kernel in AdS and is realized explicitly by a free massive Dirac fermion, whose boundary MI at long distances is that of a fermionic generalized free field (GFF). The construction also reproduces the expected short-distance divergence structure of a GFF, and the current-current correlator defines a positive and monotonically decreasing function along the renormalization-group flow. We illustrate this explicitly for disjoint half-disks at the conformal fixed point of the model in AdS$_3$, where we present the exact result.
