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P. G. Zograf and L. A. Takhtadzhyan, “On the uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmuller and Schottky spaces,” Math. USSR SB. 60
1988
Earlier work this paper cites.
Kirill Krasnov, “Holography and Riemann surfaces,” Adv. Theor. Math. Phys. 4
2000
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP
2006
Earlier work this paper cites.
Springer, 2008
D. Petz, Quantum information theory and quantum statistics · 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
Original
2008
Earlier work this paper cites.

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2014

Chen, Bin, Wu, Jie-qiang

In this paper, we calculate the R\'enyi entropy of one single interval on a circle at finite temperature in 2D CFT.

In the low temperature limit, we expand the thermal density matrix level by level in the vacuum Verma module, and calculate the first few leading terms in $e^{-\pi/TL}$ explicitly.
On the other hand, we compute the same R\'enyi entropy holographically.
After considering the dependence of the R\'enyi entropy on the temperature, we manage to fix the interval-independent constant terms in the classical part of holographic R\'enyi entropy.

P. G. Zograf and L. A. Takhtadzhyan, “On the uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmuller and Schottky spaces,” Math. USSR SB. 60
1988
Earlier work this paper cites.
Kirill Krasnov, “Holography and Riemann surfaces,” Adv. Theor. Math. Phys. 4
2000
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP
2006
Earlier work this paper cites.
Springer, 2008
D. Petz, Quantum information theory and quantum statistics · 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
Original
2008
Earlier work this paper cites.