References & Citations
High Energy Physics - Theory
Title: Universal Bound on Effective Central Charge and Its Saturation
(Submitted on 1 Apr 2024 (v1), last revised 18 Apr 2024 (this version, v2))
Abstract: The effective central charge (denoted by $c_{\text{eff}}$) is a measure of entanglement through a conformal interface, while the transmission coefficient (encoded in the coefficient $c_{LR}$ 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, $0 \leq c_{LR} \leq c_{\text{eff}} \leq \min (c_L,c_R)$. 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.
Submission history
From: Yuya Kusuki [view email][v1] Mon, 1 Apr 2024 22:42:26 GMT (104kb,D)
[v2] Thu, 18 Apr 2024 10:57:45 GMT (100kb,D)
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