期刊
PHYSICAL REVIEW LETTERS
卷 120, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.021601
关键词
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资金
- National Science Foundation [PHY-1620628]
- U.S. Department of Energy [DE-SC0013682]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1620628] Funding Source: National Science Foundation
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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