1. Universal Bound on Effective Central Charge and Its Saturation
- Author
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Karch, Andreas, Kusuki, Yuya, Ooguri, Hirosi, Sun, Hao-Yu, and Wang, Mianqi
- Subjects
High Energy Physics - Theory - 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., Comment: 4 pages, 1 figure + 4 pages, few comments added
- Published
- 2024