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Displacement Operators and Constraints on Boundary Central Charges

Research output: Contribution to journalArticle

Christopher Parker Herzog, Kou-Wei Huang, Kristan Jensen

Original languageEnglish
Article number120
Pages (from-to)021601-1 - 021601-6
Number of pages6
JournalPhysical Review Letters
Publication statusPublished - 8 Jan 2018


King's Authors


Boundary conformal field theories have several additional terms in the trace anomaly of the stress tensor associated purely with the boundary. We constrain the corresponding boundary central charges in three and four-dimensional conformal field theories in terms of two- and three-point correlation functions of the displacement operator. We provide a general derivation by comparing the trace anomaly with scale dependent contact terms in the correlation functions. We conjecture a relation between the a-type boundary charge in three dimensions and the stress tensor two-point function near the boundary. We check our results for several free theories.

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