Entanglement entropy, trace anomalies and holography

Schwimmer, A.; Theisen, Stefan

doi:10.1016/j.nuclphysb.2008.04.015

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Entanglement entropy, trace anomalies and holography

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Theisen, Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Schwimmer, A., & Theisen, S. (2008). Entanglement entropy, trace anomalies and holography. Nuclear Physics B, 801(1-2), 1-24. doi:10.1016/j.nuclphysb.2008.04.015.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-620E-3

Abstract

The holographic representation of the entanglement entropy of four-dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the holographic representation are calculated by a method which does not require the solution of the equations of motion or a cut-off. The two calculations disagree for rather generic geometries. The reasons for the disagreement are analyzed.