Entanglement entropy, trace anomalies and holography ✩
By A. Schwimmer, S. Theisen. 2008
177 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7882580b34671a23d8d0f8e53efd692593c4b98a
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Citations in the corpus
- Comments on holographic complexity (2016, methodology): “y theory | see, e.g., [25, 26, 27]. Given this framework, we want to study the structure of the UV divergences appearing in the complexity. In the following we use the notation of [17, 18] | see also [26, 27, 28]. According to the FeermanGraham (FG) construction [29, 30], any asymptotically AdS geom”
- Entanglement entropy, conformal invariance and extrinsic geometry (2008, unknown): “31 17 v4 [ he p- 1 solodukh@lmpt.univ-tours.fr”
- Entanglement Entropy of Black Holes (2011, methodology): “From the geometrical point of view, the holographic calculation of the logarithmic term in the entanglement entropy is related to the surface anomalies studied by Graham and Witten [123] (this point is discussed in [191]).”
- Some calculable contributions to holographic entanglement entropy (2011, methodology): “The calculations below are simplified somewhat if we fix reparameterizations of the coordinates on v with the following gauge choices (as in [12])”
- Holographic c-theorems in arbitrary dimensions (2010, methodology): “In fact, using the approach of [45, 46 ], 4 one readily conrms that there is again a precise match a d = A for even d: (2.16)”
- Holographic studies of quasi-topological gravity (2010, background): “, ‘short cuts’ to calculate the holographic trace anomalies for an arbitrary gravitational action are discussed in [23, 24].”
- Relative entropy and holography (2013, background): “mple, a standard FG-like expansion of the extremal surface describes the bulk surface as X(y a;z) where y are coordinates along the entangling surface and zis the usual radial coordinate in the bulk [41,42]. Then near the AdS boundary, one nds X i= X 0 (y a) 1 2(d 2) Ki(ya)z2 + (3.80) where Xi 0 (y ”
- On holographic entanglement entropy and higher curvature gravity (2011, methodology): “(0) g ij are given by [58, 59 ] (1)”
- Towards a derivation of holographic entanglement entropy (2011, background): “tanglement entropy, however, they still seem to have the same general character, i.e., they are geometric expressions evaluated on the entangling surface with coecients linear in the central charges [17, 11, 46]. 13This approach must also assume that the entropy at zero temperature vanishes or at le”
- Holographic entanglement entropy: an overview (2009, unknown): “3) and the CFT result is pointed out based on the anomaly analysis in [52].”
- Entanglement entropy from a holographic viewpoint (2012, background): “In the higher dimensional cases, the agreement of q between the AdSd+2 and CFTd+1 has been confirmed in [7, 58, 59, 54] (see also [60, 61, 62]).”