For a conformally coupled scalar in AdS4, the UV-divergent entanglement entropy is independent of boundary conditions, while the UV-finite part acquires a boundary-condition dependent R^2/a^2 correction with coefficient ranging from 1/6 (Neumann) to 0 (Dirichlet).
A Quantum Source of Entropy for Black Holes,
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Boundary Conditions and Entanglement in Anti-de Sitter Space
For a conformally coupled scalar in AdS4, the UV-divergent entanglement entropy is independent of boundary conditions, while the UV-finite part acquires a boundary-condition dependent R^2/a^2 correction with coefficient ranging from 1/6 (Neumann) to 0 (Dirichlet).