Built on

Springer-Verlag, 1959
L. Cesari, Asymptotic Behavior And Stability Problems of Ordinary Differential Equations · 1959
Earlier work this paper cites.
A. Belavin, A. M. Polyakov and A. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory , Nucl.Phys. B241
1984
Earlier work this paper cites.
J. L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories , Nucl. Phys. B270
1986
Earlier work this paper cites.
R. Brustein, S. Yankielowicz and J.-B. Zuber, Factorization and Selection Rules of Operator Product Algebras in Conformal Field Theories , Nucl. Phys. B313
1989
Earlier work this paper cites.
T. Jayaraman and K. S. Narain, Correlation Functions for Minimal Models on the Torus , Nucl. Phys. B331
1990
Earlier work this paper cites.
S. Carlip and C. Teitelboim, Aspects of black hole quantum mechanics and thermodynamics in (2+1)-dimensions , Phys. Rev. D51
1995
Earlier work this paper cites.
J. M. Maldacena and A. Strominger, AdS(3) black holes and a stringy exclusion principle , JHEP 12
1998
Earlier work this paper cites.
P. Kraus, Lectures on black holes and the AdS(3) / CFT(2) correspondence , Lect. Notes Phys. 755
2008
Earlier work this paper cites.
R. Blumenhagen and E. Plauschinn, Introduction to Conformal Field Theory: With Applications to String Theory , Springer (2009)
2009
Earlier work this paper cites.
Moscow, 2009
A. Zamolodchikov and A. Zamolodchikov, Conformal Field Theory And Critical Phenomena In Two-Dimensional Systems · 2009
Earlier work this paper cites.
L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block , JHEP 01
Original
2010
Earlier work this paper cites.
S. Kanno, Y. Matsuo and S. Shiba, Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
L. F. Alday, D. Gaiotto and Y. Tachikawa, Liouville Correlation Functions from Four-dimensional Gauge Theories , Lett.Math.Phys. 91
Original
2010
Earlier work this paper cites.
A. Marshakov, A. Mironov and A. Morozov, Combinatorial Expansions of Conformal Blocks , Theor. Math. Phys. 164
Original
2010
Earlier work this paper cites.

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2017

Holographic duals of large-c torus conformal blocks

Alkalaev, K. B., Belavin, V. A.

Understand

We study CFT2 conformal blocks on a torus and their holographic realization.

The classical conformal blocks arising in the regime where conformal dimensions grow linearly with the large central charge are shown to be holographically dual to the geodesic networks stretched in the thermal AdS bulk space.
We discuss the n-point conformal blocks and their duals, the 2-point case is elaborated in full detail.
We develop various techniques to calculate both quantum and classical conformal block functions.

Built on

Springer-Verlag, 1959
L. Cesari, Asymptotic Behavior And Stability Problems of Ordinary Differential Equations · 1959
Earlier work this paper cites.
A. Belavin, A. M. Polyakov and A. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory , Nucl.Phys. B241
1984
Earlier work this paper cites.
J. L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories , Nucl. Phys. B270
1986
Earlier work this paper cites.
R. Brustein, S. Yankielowicz and J.-B. Zuber, Factorization and Selection Rules of Operator Product Algebras in Conformal Field Theories , Nucl. Phys. B313
1989
Earlier work this paper cites.
T. Jayaraman and K. S. Narain, Correlation Functions for Minimal Models on the Torus , Nucl. Phys. B331
1990
Earlier work this paper cites.
S. Carlip and C. Teitelboim, Aspects of black hole quantum mechanics and thermodynamics in (2+1)-dimensions , Phys. Rev. D51
1995
Earlier work this paper cites.
J. M. Maldacena and A. Strominger, AdS(3) black holes and a stringy exclusion principle , JHEP 12
1998
Earlier work this paper cites.
P. Kraus, Lectures on black holes and the AdS(3) / CFT(2) correspondence , Lect. Notes Phys. 755
2008
Earlier work this paper cites.
R. Blumenhagen and E. Plauschinn, Introduction to Conformal Field Theory: With Applications to String Theory , Springer (2009)
2009
Earlier work this paper cites.
Moscow, 2009
A. Zamolodchikov and A. Zamolodchikov, Conformal Field Theory And Critical Phenomena In Two-Dimensional Systems · 2009
Earlier work this paper cites.
L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block , JHEP 01
Original
2010
Earlier work this paper cites.
S. Kanno, Y. Matsuo and S. Shiba, Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
L. F. Alday, D. Gaiotto and Y. Tachikawa, Liouville Correlation Functions from Four-dimensional Gauge Theories , Lett.Math.Phys. 91
Original
2010
Earlier work this paper cites.
A. Marshakov, A. Mironov and A. Morozov, Combinatorial Expansions of Conformal Blocks , Theor. Math. Phys. 164
Original
2010
Earlier work this paper cites.