Holographic Calculation of Boundary Entropy

By T. Azeyanagi, A. Karch, T. Takayanagi, Ethan G. Thompson. 2007

143 citations recorded by the source corpus.

We use the holographic proposal for calculating entanglement entropies to determine the boundary entropy of defects in strongly coupled two-dimensional conformal field theories. We study several examples including the Janus solution and show that the boundary entropy extracted from the entanglement entropy as well as its more conventional definition via the free energy agree with each other. Maybe somewhat surprisingly we find that, unlike in the case of a conformal field theory with boundary, the entanglement entropy for a generic region in a theory with defect carries detailed information about the microscopic details of the theory. We also argue that the g-theorem for the boundary entropy is closely related to the strong subadditivity of the entanglement entropy.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4debb09731dffab995d4d544fb8b053774ea5354

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. T. Takayanagi
2. T. Nishioka
3. E. Tonni
4. R. Myers
5. S. Ryu
6. H. Casini
7. M. Huerta
8. Pasquale Calabrese

In Geometry and Topology

1. T. Takayanagi
2. T. Nishioka
3. H. Casini
4. M. Huerta
5. E. Tonni
6. K. Jensen
7. A. O’Bannon
8. S. Ryu

In Nuclear and High Energy Physics

1. T. Takayanagi
2. T. Nishioka
3. R. Myers
4. S. Ryu
5. E. Tonni
6. V. Hubeny
7. K. Jensen
8. A. O’Bannon

Citations in the corpus

• Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects (2013, methodology): “After we account for the brane’s back-reaction, if we integrate Einstein’s equation then we obtain the Israel junction conditions at the brane: the extrinsic curvature jumps discontinuously at the brane by an amount ∝ μ1L [19, 30,34].”
• On the RG running of the entanglement entropy of a circle (2012, background): “Our argument above for ∆c0 > 0 of course does not apply directly when there are boundary conditions breaking boost symmetries, though it would be interesting if a connection with the g-theorem could be established (see [20] for a related argument).”
• Holographic entanglement entropy: an overview (2009, methodology): “By using this relation, a holographic calculation of boundary entropy has successfully been done in [47] based on AdS3/CFT2.”
• Entanglement entropy from a holographic viewpoint (2012, methodology): “To realize this structure of symmetries, we take the following ansatz of the metric (see also [132, 133, 141]): ds(2) = dρ(2) + cosh(2) ρ R · ds2AdSd+1 .”
• Massive islands (2020, background): “in [37], in that case one can consider asymmetric entangling surfaces with different y0 on the left and the right of the defect.”
• Aspects of AdS/BCFT (2011, methodology): “This calculation of boundary entropy from the holographic entanglement entropy has been first applied to Janus CFTs in [26].”