English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The focusing theorem in General Relativity underlies causality, singularitytheorems, entropy inequalities, and more. In AdS/CFT, we show that focusing inthe bulk leads to a bound on CFT $n$-point functions that is generally strongerthan causality. Causality is related to the averaged null energy condition(ANEC) on the boundary, while focusing is related to the ANEC in the bulk. Thebound is derived by translating the Einstein equations into a relation betweenbulk and boundary light-ray operators. We also discuss the consequences offocusing for the flat space $S$-matrix, which satisfies a similar inequality,and give a new derivation of bounds on higher derivative operators in effectivefield theories. The string theory $S$-matrix and CFT correlators in conformalRegge theory also satisfy the focusing bound, even though in these cases itcannot be derived from the standard focusing theorem.

Focusing bounds for CFT correlators and the S-matrix