Built on

H. Osborn, “Conformal Blocks for Arbitrary Spins in Two Dimensions,” Phys. Lett. B 718
Original
1941
Earlier work this paper cites.
A. Belavin, A. M. Polyakov, and A. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
1974
Earlier work this paper cites.
V. S. Dotsenko and V. A. Fateev, “Conformal Algebra and Multipoint Correlation Functions in Two-Dimensional Statistical Models,” Nucl. Phys. B 240
1984
Earlier work this paper cites.
John L. Cardy, ”Conformal invariance and surface critical behavior.” Nuclear Physics B 240.4 (1984): 514-532
1984
Earlier work this paper cites.
V. S. Dotsenko and V. A. Fateev, “Four Point Correlation Functions and the Operator Algebra in the Two-Dimensional Conformal Invariant Theories with the Central Charge c < 1 c<1 ,” Nucl. Phys. B 251
1985
Earlier work this paper cites.
E. P. Verlinde, Fusion Rules and Modular Transformations in 2D Conformal Field Theory,”
1988
Earlier work this paper cites.
G. W. Moore and N. Seiberg, Polynomial Equations for Rational Conformal Field Theories,
1989
Earlier work this paper cites.
John L. Cardy, ”Boundary conditions, fusion rules and the Verlinde formula.” Nuclear Physics B 324.3 (1989): 581-596
1989
Earlier work this paper cites.
R. Dijkgraaf, “Chiral deformations of conformal field theories,” Nucl. Phys. B 493
1997
Earlier work this paper cites.
Ph. Di Francesco, P. Mathieu, D. Sénéchal, “Conformal Field Theory,” Springer 1998
1998
Earlier work this paper cites.

Similar

P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
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2005
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A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett. 96
2006
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J. Cardy and P. Calabrese, “Unusual Corrections to Scaling in Entanglement Entropy,” J. Stat. Mech. 1004
Original
2010
Cited alongside, same era.

Then

N. Shiba, “Entanglement Entropy of Disjoint Regions in Excited States : An Operator Method,” JHEP 1412
Original
2014
Later among the works it cites.
S. He, T. Numasawa, T. Takayanagi and K. Watanabe, “Quantum Dimension as Entanglement Entropy in 2D CFTs,” Phys. Rev. D 90
Original
2014
Later among the works it cites.
P. Caputa, M. Nozaki and T. Takayanagi, “Entanglement of local operators in large-N conformal field theories,” PTEP 2014
Original
2014
Later among the works it cites.
S. Datta, J. R. David, M. Ferlaino and S. P. Kumar, “Higher spin entanglement entropy from CFT,” JHEP 1406
Original
2014
Later among the works it cites.
S. Datta, J. R. David, M. Ferlaino and S. P. Kumar, “Universal correction to higher spin entanglement entropy,” Phys. Rev. D 90

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2015

Entanglement Entropy for Descendent Local Operators in 2D CFTs

Chen, Bin, Guo, Wu-Zhong, He, Song et al.

Understand

We mainly study the R\'enyi entropy and entanglement entropy of the states locally excited by the descendent operators in two dimensional conformal field theories (CFTs).

In rational CFTs, we prove that the increase of entanglement entropy and R\'enyi entropy for a class of descendent operators, which are generated by $\cal{L}^{(-)}\bar{\cal{L}}^{(-)}$ onto the primary operator, always coincide with the logarithmic of quantum dimension of the corresponding primary operator.
That means the R\'enyi entropy and entanglement entropy for these descendent operators are the same as the ones of their corresponding primary operator.
For 2D rational CFTs with a boundary, we confirm that the R\'enyi entropy always coincides with the logarithmic of quantum dimension of the primary operator during some periods of the evolution.

Built on

H. Osborn, “Conformal Blocks for Arbitrary Spins in Two Dimensions,” Phys. Lett. B 718
Original
1941
Earlier work this paper cites.
A. Belavin, A. M. Polyakov, and A. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
1974
Earlier work this paper cites.
V. S. Dotsenko and V. A. Fateev, “Conformal Algebra and Multipoint Correlation Functions in Two-Dimensional Statistical Models,” Nucl. Phys. B 240
1984
Earlier work this paper cites.
John L. Cardy, ”Conformal invariance and surface critical behavior.” Nuclear Physics B 240.4 (1984): 514-532
1984
Earlier work this paper cites.
V. S. Dotsenko and V. A. Fateev, “Four Point Correlation Functions and the Operator Algebra in the Two-Dimensional Conformal Invariant Theories with the Central Charge c < 1 c<1 ,” Nucl. Phys. B 251
1985
Earlier work this paper cites.
E. P. Verlinde, Fusion Rules and Modular Transformations in 2D Conformal Field Theory,”
1988
Earlier work this paper cites.
G. W. Moore and N. Seiberg, Polynomial Equations for Rational Conformal Field Theories,
1989
Earlier work this paper cites.
John L. Cardy, ”Boundary conditions, fusion rules and the Verlinde formula.” Nuclear Physics B 324.3 (1989): 581-596
1989
Earlier work this paper cites.
R. Dijkgraaf, “Chiral deformations of conformal field theories,” Nucl. Phys. B 493
1997
Earlier work this paper cites.
Ph. Di Francesco, P. Mathieu, D. Sénéchal, “Conformal Field Theory,” Springer 1998
1998
Earlier work this paper cites.

Similar

P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Cited alongside, same era.
P. Calabrese and J. L. Cardy, “Evolution of entanglement entropy in one-dimensional systems,” J. Stat. Mech. 0504
2005
Cited alongside, same era.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett. 96
2006
Cited alongside, same era.
P. Fendley, M. P. A. Fisher and C. Nayak, “Topological Entanglement Entropy from the Holographic Partition Function,” J. Statist. Phys. 126
2007
Cited alongside, same era.
J. Cardy and P. Calabrese, “Unusual Corrections to Scaling in Entanglement Entropy,” J. Stat. Mech. 1004
Original
2010
Cited alongside, same era.