ar X iv : 0 80 2 . 10 17 v 1 [ he p - th ] 7 F eb 2 00 8 Entanglement Entropy , Trace Anomalies and Holography ∗
نویسنده
چکیده
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. ∗ Partially supported by the German-Israeli Project cooperation (DIP H52), the Einstein Center of the Weizmann Institute, the Humboldt Foundation and by the European Research and Training Networks ‘Superstrings’ (MRTNCT-2004-512194) (A.S.) and ‘Forces Universe’ (MRTN-CT-2004-005104) (S.T.).
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ar X iv : 0 80 2 . 10 17 v 2 [ he p - th ] 2 2 Fe b 20 08 Entanglement Entropy , Trace Anomalies and Holography ∗
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 f...
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