Built on

J. Kirklin, “Unambiguous Phase Spaces for Subregions,” JHEP
Original
1901
Earlier work this paper cites.
J. Lou, C. Shen, and L.-Y. Hung, “Ishibashi states, topological orders with boundaries and topological entanglement entropy. Part I,” JHEP
Original
1901
Earlier work this paper cites.
J. Camps, “The Parts of the Gravitational Field,” arXiv:1905.10121 [hep-th]
Original
1905
Earlier work this paper cites.
V. Benedetti and H. Casini, “Entanglement entropy of linearized gravitons in a sphere,” arXiv:1908.01800 [hep-th]
Original
1908
Earlier work this paper cites.
C. Shen, J. Lou, and L.-Y. Hung, “Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy II – Cutting through the boundary,” arXiv:1908.07700 [hep-th]
Original
1908
Earlier work this paper cites.
P.-G. Rozon, P.-A. Bolteau, and W. Witczak-Krempa, “Geometric entanglement in integer quantum Hall states with boundaries,” arXiv:1911.11128 [cond-mat.str-el]
Original
1911
Earlier work this paper cites.
D. L. Jafferis and D. K. Kolchmeyer, “Entanglement Entropy in Jackiw-Teitelboim Gravity,” arXiv:1911.10663 [hep-th]
Original
1911
Earlier work this paper cites.
X. Huang, C.-T. Ma, and H. Shu, “Quantum Correction of the Wilson Line and Entanglement Entropy in the AdS 3 Chern-Simons Gravity Theory,” arXiv:1911.03841 [hep-th]
Original
1911
Earlier work this paper cites.
I. Affleck, “Critical behavior of two-dimensional systems with continuous symmetries,” Phys. Rev. Lett
1985
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys
1986
Earlier work this paper cites.
J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys
1986
Earlier work this paper cites.
A. Achucarro and P. K. Townsend, “A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories,” Phys. Lett
1987
Earlier work this paper cites.
E. P. Verlinde, “Fusion Rules and Modular Transformations in 2D Conformal Field Theory,” Nucl. Phys
1988
Earlier work this paper cites.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl. Phys
1988
Earlier work this paper cites.
S. Elitzur, G. W. Moore, A. Schwimmer, and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys
1989
Earlier work this paper cites.
E. Witten, “Quantum field theory and the jones polynomial,” Comm. Math. Phys
1989
Earlier work this paper cites.
G. Moore and N. Seiberg, “Classical and quantum conformal field theory,” Comm. Math. Phys
1989
Earlier work this paper cites.
M. Bos and V. P. Nair, “U(1) Chern-Simons Theory and c=1 Conformal Blocks,” Phys. Lett
1989
Earlier work this paper cites.
R. Dijkgraaf and E. Witten, “Topological gauge theories and group cohomology,” Comm. Math. Phys
1990
Earlier work this paper cites.
I. Affleck and A. W. W. Ludwig, “The fermi edge singularity and boundary condition changing operators,” Journal of Physics A: Mathematical and General
1994
Earlier work this paper cites.
C. Bachas, J. de Boer, R. Dijkgraaf, and H. Ooguri, “Permeable conformal walls and holography,” JHEP
2002
Earlier work this paper cites.
H. Casini and M. Huerta, “A Finite entanglement entropy and the c-theorem,” Phys. Lett
2004
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J.Stat.Mech
2004
Earlier work this paper cites.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett
2006
Earlier work this paper cites.
M. Levin and X.-G. Wen, “Detecting topological order in a ground state wave function,” Physical Review Letters
2006
Earlier work this paper cites.

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S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys.Rev.Lett
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Then

D. Das and S. Datta, “Universal features of left-right entanglement entropy,” Phys. Rev. Lett
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Later among the works it cites.
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Later among the works it cites.
H. Casini, M. Huerta, R. C. Myers, and A. Yale, “Mutual information and the F-theorem,” JHEP
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Later among the works it cites.
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2019

Bulk entanglement entropy for photons and gravitons in AdS$_3$

Belin, Alexandre, Iqbal, Nabil, Kruthoff, Jorrit

Understand

We study quantum corrections to holographic entanglement entropy in AdS$_3$/CFT$_2$; these are given by the bulk entanglement entropy across the Ryu-Takayanagi surface for all fields in the effective gravitational theory.

We consider bulk $U(1)$ gauge fields and gravitons, whose dynamics in AdS$_3$ are governed by Chern-Simons terms and are therefore topological.
In this case the relevant Hilbert space is that of the edge excitations.
A novelty of the holographic construction is that such modes live not only on the bulk entanglement cut but also on the AdS boundary.

Built on

J. Kirklin, “Unambiguous Phase Spaces for Subregions,” JHEP
Original
1901
Earlier work this paper cites.
J. Lou, C. Shen, and L.-Y. Hung, “Ishibashi states, topological orders with boundaries and topological entanglement entropy. Part I,” JHEP
Original
1901
Earlier work this paper cites.
J. Camps, “The Parts of the Gravitational Field,” arXiv:1905.10121 [hep-th]
Original
1905
Earlier work this paper cites.
V. Benedetti and H. Casini, “Entanglement entropy of linearized gravitons in a sphere,” arXiv:1908.01800 [hep-th]
Original
1908
Earlier work this paper cites.
C. Shen, J. Lou, and L.-Y. Hung, “Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy II – Cutting through the boundary,” arXiv:1908.07700 [hep-th]
Original
1908
Earlier work this paper cites.
P.-G. Rozon, P.-A. Bolteau, and W. Witczak-Krempa, “Geometric entanglement in integer quantum Hall states with boundaries,” arXiv:1911.11128 [cond-mat.str-el]
Original
1911
Earlier work this paper cites.
D. L. Jafferis and D. K. Kolchmeyer, “Entanglement Entropy in Jackiw-Teitelboim Gravity,” arXiv:1911.10663 [hep-th]
Original
1911
Earlier work this paper cites.
X. Huang, C.-T. Ma, and H. Shu, “Quantum Correction of the Wilson Line and Entanglement Entropy in the AdS 3 Chern-Simons Gravity Theory,” arXiv:1911.03841 [hep-th]
Original
1911
Earlier work this paper cites.
I. Affleck, “Critical behavior of two-dimensional systems with continuous symmetries,” Phys. Rev. Lett
1985
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys
1986
Earlier work this paper cites.
J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys
1986
Earlier work this paper cites.
A. Achucarro and P. K. Townsend, “A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories,” Phys. Lett
1987
Earlier work this paper cites.
E. P. Verlinde, “Fusion Rules and Modular Transformations in 2D Conformal Field Theory,” Nucl. Phys
1988
Earlier work this paper cites.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl. Phys
1988
Earlier work this paper cites.
S. Elitzur, G. W. Moore, A. Schwimmer, and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys
1989
Earlier work this paper cites.
E. Witten, “Quantum field theory and the jones polynomial,” Comm. Math. Phys
1989
Earlier work this paper cites.
G. Moore and N. Seiberg, “Classical and quantum conformal field theory,” Comm. Math. Phys
1989
Earlier work this paper cites.
M. Bos and V. P. Nair, “U(1) Chern-Simons Theory and c=1 Conformal Blocks,” Phys. Lett
1989
Earlier work this paper cites.
R. Dijkgraaf and E. Witten, “Topological gauge theories and group cohomology,” Comm. Math. Phys
1990
Earlier work this paper cites.
I. Affleck and A. W. W. Ludwig, “The fermi edge singularity and boundary condition changing operators,” Journal of Physics A: Mathematical and General
1994
Earlier work this paper cites.
C. Bachas, J. de Boer, R. Dijkgraaf, and H. Ooguri, “Permeable conformal walls and holography,” JHEP
2002
Earlier work this paper cites.
H. Casini and M. Huerta, “A Finite entanglement entropy and the c-theorem,” Phys. Lett
2004
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J.Stat.Mech
2004
Earlier work this paper cites.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett
2006
Earlier work this paper cites.
M. Levin and X.-G. Wen, “Detecting topological order in a ground state wave function,” Physical Review Letters
2006
Earlier work this paper cites.

Similar

S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys.Rev.Lett
2006
Cited alongside, same era.
M. Levin and X.-G. Wen, “Detecting topological order in a ground state wave function,” Phys. Rev. Lett
2006
Cited alongside, same era.
J. Fuchs, M. R. Gaberdiel, I. Runkel, and C. Schweigert, “Topological defects for the free boson CFT,” J. Phys
Original
2007
Cited alongside, same era.
S. Dong, E. Fradkin, R. G. Leigh, and S. Nowling, “Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids,” JHEP
Original
2008
Cited alongside, same era.
P. Kraus, “Lectures on black holes and the AdS(3) / CFT(2) correspondence,” Lect.Notes Phys
2008
Cited alongside, same era.

Then

D. Das and S. Datta, “Universal features of left-right entanglement entropy,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
A. Belin, L.-Y. Hung, A. Maloney, and S. Matsuura, “Charged Renyi entropies and holographic superconductors,” JHEP
Original
2015
Later among the works it cites.
H. Casini, M. Huerta, R. C. Myers, and A. Yale, “Mutual information and the F-theorem,” JHEP
Original
2015
Later among the works it cites.
T. Faulkner, R. G. Leigh, O. Parrikar, and H. Wang, “Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition,” JHEP
Original
2016
Later among the works it cites.
R. M. Soni and S. P. Trivedi, “Aspects of Entanglement Entropy for Gauge Theories,” JHEP

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

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