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Anomalies, entropy and boundaries · Around

2016

Anomalies, entropy and boundaries

Fursaev, Dmitri V., Solodukhin, Sergey N.

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A relation between the conformal anomaly and the logarithmic term in the entanglement entropy is known to exist for CFT's in even dimensions.

In odd dimensions the local anomaly and the logarithmic term in the entropy are absent.
As was observed recently, there exists a non-trivial integrated anomaly if an odd-dimensional spacetime has boundaries.
We show that, similarly, there exists a logarithmic term in the entanglement entropy when the entangling surface crosses the boundary of spacetime.

Built on

D. V. Fursaev, Temperature and entropy of a quantum black hole and conformal anomaly
1995
Earlier work this paper cites.
S. N. Solodukhin, The Conical singularity and quantum corrections to entropy of black hole
1995
Earlier work this paper cites.
D. V. Fursaev and S. N. Solodukhin, On the description of the Riemannian geometry in the presence of conical defects
1995
Earlier work this paper cites.
D.V. Vassilevich, Heat Kernel Expansion: User’s Manual
2003
Earlier work this paper cites.

Similar

S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy
2006
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S. N. Solodukhin, Entanglement entropy, conformal invariance and extrinsic geometry
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2008
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D. Fursaev and D. Vassilevich, Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory
2011
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D.V. Fursaev, Conformal anomalies of CFT’s with boundaries
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S. N. Solodukhin, Boundary terms of conformal anomaly
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C. P. Herzog, K. W. Huang and K. Jensen, Universal Entanglement and Boundary Geometry in Conformal Field Theory,
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K. Jensen and A. O’Bannon, A constraint on defect and boundary renormalization Group Flows,
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Then

D. V. Fursaev, A. Patrushev and S. N. Solodukhin, Distributional geometry of squashed cones
Original
2013
Later among the works it cites.
D. V. Fursaev, Quantum Entanglement on Boundaries
Original
2013
Later among the works it cites.
D.V. Fursaev, Entanglement Renyi Entropies in Conformal Field Theories and Holography
Original
2013
Later among the works it cites.

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