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2017

Displacement Operators and Constraints on Boundary Central Charges

Herzog, Christopher, Huang, Kuo-Wei, Jensen, Kristan

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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.

Displacement Operators and Constraints on Boundary Central Charges · Around

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