Built on

A. B. Zamolodchikov, “Two-dimensional conformal symmetry and critical four-spin correlation functions in the Ashkin-Teller Model,” Zh. Eksp. Teor. Fiz
1986
Earlier work this paper cites.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl.Phys
1988
Earlier work this paper cites.
P. Zograf and L. Takhtadzhyan, “On the uniformization of Riemann surfaces and the Weil-Petersson metric on Teickmüller and Schottky spaces,” Math. USSR Sb
1988
Earlier work this paper cites.
A. Achucarro and P. K. Townsend, “Extended supergravities in d = (2+1) as Chern-Simons Theories,” Phys. Lett
1989
Earlier work this paper cites.
J. Balog, L. Feher, L. O’Raifeartaigh, P. Forgacs, and A. Wipf, “Toda theory and W algebra from a gauged WZNW point of view,” Annals Phys
1990
Earlier work this paper cites.
J. de Boer and J. Goeree, “W gravity from Chern-Simons theory,” Nucl.Phys
1992
Earlier work this paper cites.
A. B. Zamolodchikov and A. B. Zamolodchikov, “Structure constants and conformal bootstrap in Liouville field theory,” Nucl.Phys
1996
Earlier work this paper cites.
K. Krasnov, “Holography and Riemann surfaces,” Adv.Theor.Math.Phys
2000
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.
V. Balasubramanian, J. de Boer, V. Jejjala, and J. Simon, “The Library of Babel: On the origin of gravitational thermodynamics,” JHEP
2005
Earlier work this paper cites.
V. Balasubramanian, P. Kraus, and M. Shigemori, “Massless black holes and black rings as effective geometries of the D1-D5 system,” Class.Quant.Grav
2005
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.
V. Fateev and A. Litvinov, “Correlation functions in conformal Toda field theory. I.,” JHEP
Original
2007
Earlier work this paper cites.

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2014

Higher Spin Entanglement and W_N Conformal Blocks

de Boer, Jan, Castro, Alejandra, Hijano, Eliot et al.

Understand

Two-dimensional conformal field theories with extended $\cal{W}$-symmetry algebras have dual descriptions in terms of weakly coupled higher spin gravity in AdS$_3\,$ at large central charge.

Observables that can be computed and compared in the two descriptions include R\'enyi and entanglement entropies, and correlation functions of local operators.
We develop techniques for computing these, in a manner that sheds light on when and why one can expect agreement between such quantities on each side of the duality.
We set up the computation of excited state R\'enyi entropies in the bulk in terms of Chern-Simons connections, and show how this directly parallels the CFT computation of correlation functions.

Built on

A. B. Zamolodchikov, “Two-dimensional conformal symmetry and critical four-spin correlation functions in the Ashkin-Teller Model,” Zh. Eksp. Teor. Fiz
1986
Earlier work this paper cites.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl.Phys
1988
Earlier work this paper cites.
P. Zograf and L. Takhtadzhyan, “On the uniformization of Riemann surfaces and the Weil-Petersson metric on Teickmüller and Schottky spaces,” Math. USSR Sb
1988
Earlier work this paper cites.
A. Achucarro and P. K. Townsend, “Extended supergravities in d = (2+1) as Chern-Simons Theories,” Phys. Lett
1989
Earlier work this paper cites.
J. Balog, L. Feher, L. O’Raifeartaigh, P. Forgacs, and A. Wipf, “Toda theory and W algebra from a gauged WZNW point of view,” Annals Phys
1990
Earlier work this paper cites.
J. de Boer and J. Goeree, “W gravity from Chern-Simons theory,” Nucl.Phys
1992
Earlier work this paper cites.
A. B. Zamolodchikov and A. B. Zamolodchikov, “Structure constants and conformal bootstrap in Liouville field theory,” Nucl.Phys
1996
Earlier work this paper cites.
K. Krasnov, “Holography and Riemann surfaces,” Adv.Theor.Math.Phys
2000
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.
V. Balasubramanian, J. de Boer, V. Jejjala, and J. Simon, “The Library of Babel: On the origin of gravitational thermodynamics,” JHEP
2005
Earlier work this paper cites.
V. Balasubramanian, P. Kraus, and M. Shigemori, “Massless black holes and black rings as effective geometries of the D1-D5 system,” Class.Quant.Grav
2005
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.
V. Fateev and A. Litvinov, “Correlation functions in conformal Toda field theory. I.,” JHEP
Original
2007
Earlier work this paper cites.