Built on

M. Henningson and K. Skenderis, The Holographic Weyl anomaly
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, Weyl anomaly for Wilson surfaces
1999
Earlier work this paper cites.
N. Drukker, D. J. Gross, and H. Ooguri, Wilson loops and minimal surfaces
1999
Earlier work this paper cites.
C. R. Graham and E. Witten, Conformal anomaly of submanifold observables in AdS / CFT correspondence
1999
Earlier work this paper cites.
I. R. Klebanov and E. Witten, AdS / CFT correspondence and symmetry breaking
1999
Earlier work this paper cites.
D. Z. Freedman, C. Nunez, M. Schnabl, and K. Skenderis, Fake supergravity and domain wall stability
2004
Earlier work this paper cites.
H. Casini and M. Huerta, Entanglement and alpha entropies for a massive scalar field in two dimensions
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.
K. Skenderis and P. K. Townsend, Hidden supersymmetry of domain walls and cosmologies
2006
Earlier work this paper cites.
H. Casini and M. Huerta, Universal terms for the entanglement entropy in 2+1 dimensions
2007
Earlier work this paper cites.
I. Papadimitriou, Non-Supersymmetric Membrane Flows from Fake Supergravity and Multi-Trace Deformations
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Earlier work this paper cites.
I. R. Klebanov, D. Kutasov, and A. Murugan, Entanglement as a probe of confinement
Original
2008
Earlier work this paper cites.
S. N. Solodukhin, Entanglement entropy, conformal invariance and extrinsic geometry
Original
2008
Earlier work this paper cites.

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2016

Renormalized entanglement entropy

Taylor, Marika, Woodhead, William

Understand

We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces.

The renormalized entanglement entropy is derived for entangling surfaces in asymptotically locally anti-de Sitter spacetimes in general dimensions and for entangling surfaces in four dimensional holographic renormalization group flows.
The renormalized entanglement entropy for disk regions in $AdS_4$ spacetimes agrees precisely with the holographically renormalized action for $AdS_4$ with spherical slicing and hence with the F quantity, in accordance with the Casini-Huerta-Myers map.
We present a generic class of holographic RG flows associated with deformations by operators of dimension $3/2 < \Delta < 5/2$ for which the F quantity increases along the RG flow, hence violating the strong version of the F theorem.

Built on

M. Henningson and K. Skenderis, The Holographic Weyl anomaly
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, Weyl anomaly for Wilson surfaces
1999
Earlier work this paper cites.
N. Drukker, D. J. Gross, and H. Ooguri, Wilson loops and minimal surfaces
1999
Earlier work this paper cites.
C. R. Graham and E. Witten, Conformal anomaly of submanifold observables in AdS / CFT correspondence
1999
Earlier work this paper cites.
I. R. Klebanov and E. Witten, AdS / CFT correspondence and symmetry breaking
1999
Earlier work this paper cites.
D. Z. Freedman, C. Nunez, M. Schnabl, and K. Skenderis, Fake supergravity and domain wall stability
2004
Earlier work this paper cites.
H. Casini and M. Huerta, Entanglement and alpha entropies for a massive scalar field in two dimensions
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.
K. Skenderis and P. K. Townsend, Hidden supersymmetry of domain walls and cosmologies
2006
Earlier work this paper cites.
H. Casini and M. Huerta, Universal terms for the entanglement entropy in 2+1 dimensions
2007
Earlier work this paper cites.
I. Papadimitriou, Non-Supersymmetric Membrane Flows from Fake Supergravity and Multi-Trace Deformations
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Earlier work this paper cites.
I. R. Klebanov, D. Kutasov, and A. Murugan, Entanglement as a probe of confinement
Original
2008
Earlier work this paper cites.
S. N. Solodukhin, Entanglement entropy, conformal invariance and extrinsic geometry
Original
2008
Earlier work this paper cites.