{"id":196135,"date":"2024-09-13T11:23:55","date_gmt":"2024-09-13T16:23:55","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/09\/universal-bound-on-effective-central-charge-and-its-saturation"},"modified":"2024-09-13T11:23:55","modified_gmt":"2024-09-13T16:23:55","slug":"universal-bound-on-effective-central-charge-and-its-saturation","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/09\/universal-bound-on-effective-central-charge-and-its-saturation","title":{"rendered":"Universal Bound on Effective Central Charge and Its Saturation"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/universal-bound-on-effective-central-charge-and-its-saturation2.jpg\"><\/a><\/p>\n<p>The effective central charge (denoted by c_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 Letter, we propose the inequalities, $0lec_LRlec_efflemin(c_L,c_R). They have the simple but important implication that the amount of energy transmission can never exceed the amount of information transmission. We verify them using the AdS\/CFT correspondence, using the perturbation method, and in examples beyond holography.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The effective central charge (denoted by c_eff) is a measure of entanglement through a conformal interface, while the transmission coefficient (encoded in the coefficient c_LR$ 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 [\u2026]<\/p>\n","protected":false},"author":661,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1497],"tags":[],"class_list":["post-196135","post","type-post","status-publish","format-standard","hentry","category-energy"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/196135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/661"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=196135"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/196135\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=196135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=196135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=196135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}