Displacement Operators and Constraints on Boundary Central Charges

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...

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Published inPhysical review letters Vol. 120; no. 2; p. 021601
Main Authors Herzog, Christopher, Huang, Kuo-Wei, Jensen, Kristan
Format Journal Article
LanguageEnglish
Published United States 08.01.2018
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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.
AbstractList 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.
Author Jensen, Kristan
Herzog, Christopher
Huang, Kuo-Wei
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  givenname: Kristan
  surname: Jensen
  fullname: Jensen, Kristan
  organization: Department of Physics and Astronomy, San Francisco State University, San Francisco, California 94132, USA
BackLink https://www.ncbi.nlm.nih.gov/pubmed/29376730$$D View this record in MEDLINE/PubMed
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Snippet Boundary conformal field theories have several additional terms in the trace anomaly of the stress tensor associated purely with the boundary. We constrain the...
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Title Displacement Operators and Constraints on Boundary Central Charges
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