Built on

J. D. Brown and M. Henneaux, “Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
P. G. Zograf and L.A. Takhtadzhyan, “On the uniformization of Riemann surfaces and the Weil-Petersson metric on TeichmÃŒller and Schottky spaces", 1988. Math.USSR Sb.,60,297
1988
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C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv.Theor.Math.Phys. 2
1998
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A. Strominger, “Black hole entropy from near horizon microstates,” JHEP 9802
1998
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K. Krasnov, “Holography and Riemann surfaces,” Adv. Theor. Math. Phys. 4
2000
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P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
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S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
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S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
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P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory: A Non-technical introduction,” Int. J. Quant. Inf. 4
2006
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M. Headrick and T. Takayanagi, “A Holographic proof of the strong subadditivity of entanglement entropy,” Phys. Rev. D76
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2007
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V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
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Springer, 2008
D. Petz, Quantum information theory and quantum statistics · 2008
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M.M. Wolf, F. Verstraete, M.B. Hastings, J.I. Cirac, “Area laws in quantum systems: mutual information and correlations", Phys. Rev. Lett., 100
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2008
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X. Yin, “Partition Functions of Three-Dimensional Pure Gravity,” Commun. Num. Theor. Phys. 2
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2008
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S. Giombi, A. Maloney, and X. Yin, “One-loop Partition Functions of 3D Gravity,” JHEP 0808
Original
2008
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G. Compere and S. Detournay, “Boundary conditions for spacelike and timelike warped AdS 3 spaces in topologically massive gravity,” JHEP 0908
Original
2009
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M. Headrick, “Entanglement Rényi entropies in holographic theories,” Phys. Rev. D 82
Original
2010
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2019

R\'enyi Mutual Information in Holographic Warped CFTs

Chen, Bin, Hao, Peng-Xiang, Song, Wei

Understand

The study of R\'enyi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order.

In this article, we study the R\'enyi mutual information between two intervals at large distance in two-dimensional holographic warped conformal field theory, which is conjectured to be dual to the gravity on AdS3 or warped AdS3 spacetime under the Dirichlet-Newman boundary conditions.
By using the operator product expansion of twist operators up to level 3, we read the leading oder and the next-toleading order RMI in the large central charge and small cross-ratio limits.
The leading order result is furthermore confirmed using the conformal block expansion.

Built on

J. D. Brown and M. Henneaux, “Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
P. G. Zograf and L.A. Takhtadzhyan, “On the uniformization of Riemann surfaces and the Weil-Petersson metric on TeichmÃŒller and Schottky spaces", 1988. Math.USSR Sb.,60,297
1988
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv.Theor.Math.Phys. 2
1998
Earlier work this paper cites.
A. Strominger, “Black hole entropy from near horizon microstates,” JHEP 9802
1998
Earlier work this paper cites.
K. Krasnov, “Holography and Riemann surfaces,” Adv. Theor. Math. Phys. 4
2000
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory: A Non-technical introduction,” Int. J. Quant. Inf. 4
2006
Earlier work this paper cites.
M. Headrick and T. Takayanagi, “A Holographic proof of the strong subadditivity of entanglement entropy,” Phys. Rev. D76
Original
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
Springer, 2008
D. Petz, Quantum information theory and quantum statistics · 2008
Earlier work this paper cites.
M.M. Wolf, F. Verstraete, M.B. Hastings, J.I. Cirac, “Area laws in quantum systems: mutual information and correlations", Phys. Rev. Lett., 100
Original
2008
Earlier work this paper cites.
X. Yin, “Partition Functions of Three-Dimensional Pure Gravity,” Commun. Num. Theor. Phys. 2
Original
2008
Earlier work this paper cites.
S. Giombi, A. Maloney, and X. Yin, “One-loop Partition Functions of 3D Gravity,” JHEP 0808
Original
2008
Earlier work this paper cites.
G. Compere and S. Detournay, “Boundary conditions for spacelike and timelike warped AdS 3 spaces in topologically massive gravity,” JHEP 0908
Original
2009
Earlier work this paper cites.
M. Headrick, “Entanglement Rényi entropies in holographic theories,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.