2024/04/01 by Andreas Karch, Yuya Kusuki, Karch, Andreas +7 · 12 citations
Computer Science · Engineering · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms #Optical Polarization and Ellipsometry #Physics and Engineering Research Articles
paper · pdf · doi:10.48550/arxiv.2404.01515
openalex publication_date 2024/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The effective central charge (denoted by ceff) is a measure of entanglement through a conformal interface, while the transmission coefficient (encoded in the coefficient cLR of the two-point function of the energy-momentum tensor across the interface) is a measure of energy transmission through the interface. It has been pointed out that these two are generally different. In this article, we propose the inequalities, 0 ≤ cLR ≤ ceff ≤ min (cL,cR). They have the simple but important implication that the amount of energy transmission can never exceed the amount of information transmission. We verify them using the AdS/CFT correspondence, using the perturbation method, and in examples beyond holography. We also show that these inequalities are sharp by constructing a class of interfaces that saturate them.