Universal Bound on Effective Central Charge and Its Saturation
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910414341668864 |
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| author | Karch, Andreas Kusuki, Yuya Ooguri, Hirosi Sun, Hao-Yu Wang, Mianqi |
| author_facet | Karch, Andreas Kusuki, Yuya Ooguri, Hirosi Sun, Hao-Yu Wang, Mianqi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal Bound on Effective Central Charge and Its Saturation Karch, Andreas Kusuki, Yuya Ooguri, Hirosi Sun, Hao-Yu Wang, Mianqi High Energy Physics - Theory 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. |
| title | Universal Bound on Effective Central Charge and Its Saturation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.01515 |