Casimir Effect, Weyl Anomaly and Displacement Operator in Boundary Conformal Field Theory

Abstract

In this paper, we investigate Casimir effect, Weyl anomaly and displacement operator for boundary conformal field theory in general dimensions. We find universal relations between them. In particular, they are all determined by the central charge of boundary conformal field theory. We verify these relations by studying free BCFTs and holographic BCFTs. As a byproduct, we obtain the holographic two point function of stress tensor when the bulk boundary is perpendicular to the AdS boundary.

22pages, 1 figure, match the published version in JHEP

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Cited by in corpus (13)

• AdS/BCFT and Island for curvature-squared gravity
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• Relating bulk to boundary entanglement
• Weyl Anomaly induced Fermi Condensation and Holography
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Casimir Effect and Holographic Dual of Wedges
• Note on anomalous currents for a free theory
• Hot Casimir Wormholes
• Bound of Casimir Effect by Holography
• Gravity Dual of Networks
• Enhancement of Anomalous Boundary Current by High Temperature
• Remark on the synergy between the heat kernel techniques and the parity anomaly