Displacement Operators and Constraints on Boundary Central Charges

Christopher Parker Herzog, Kou-Wei Huang, Kristan Jensen

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)
148 Downloads (Pure)

Abstract

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.
Original languageEnglish
Article number120
Pages (from-to)021601-1 - 021601-6
Number of pages6
JournalPhysical Review Letters
Volume120
DOIs
Publication statusPublished - 8 Jan 2018

Fingerprint

Dive into the research topics of 'Displacement Operators and Constraints on Boundary Central Charges'. Together they form a unique fingerprint.

Cite this