Built on

S. Parikh, “Holographic dual of the five-point conformal block,” JHEP
Original
1901
Earlier work this paper cites.
T. Anous and J. Sonner, “Phases of scrambling in eigenstates,” SciPost Phys
Original
1903
Earlier work this paper cites.
Y. Kusuki and M. Miyaji, “Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block,” arXiv:1905.02191 [hep-th]
Original
1905
Earlier work this paper cites.
C. B. Jepsen and S. Parikh, “Propagator identities, holographic conformal blocks, and higher-point AdS diagrams,” JHEP
Original
1906
Earlier work this paper cites.
K. Jensen, “Scrambling in nearly thermalized states at large central charge,” arXiv:1906.05852 [hep-th]
Original
1906
Earlier work this paper cites.
Y.-H. Qi, S.-J. Sin, and J. Yoon, “Quantum Correction to Chaos in Schwarzian Theory,” JHEP
Original
1906
Earlier work this paper cites.
M. Kulaxizi, G. S. Ng, and A. Parnachev, “Subleading Eikonal, AdS/CFT and Double Stress Tensors,” JHEP
Original
1907
Earlier work this paper cites.
A. L. Fitzpatrick, K.-W. Huang, and D. Li, “Probing universalities in d ¿ 2 CFTs: from black holes to shockwaves,” JHEP
Original
1907
Earlier work this paper cites.
F. M. Haehl, W. Reeves, and M. Rozali, “Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs,” JHEP
Original
1909
Earlier work this paper cites.
J.-F. Fortin, W. Ma, and W. Skiba, “Higher-Point Conformal Blocks in the Comb Channel,” arXiv:1911.11046 [hep-th]
Original
1911
Earlier work this paper cites.
S. Parikh, “A multipoint conformal block chain in d d dimensions,” arXiv:1911.09190 [hep-th]
Original
1911
Earlier work this paper cites.
S. Saran, “Hypergeometric functions of three variables,” Ganita
1954
Earlier work this paper cites.
S. Saran et al
1955
Earlier work this paper cites.
R. C. PANDEY, “On certain hypergeometric transformations,” Journal of Mathematics and Mechanics
1963
Earlier work this paper cites.
A. I. Larkin and Y. N. Ovchinnikov, “Quasiclassical method in the theory of superconductivity,” Sov.Phys.JETP
1969
Earlier work this paper cites.
A. Zamolodchikov, “Conformal symmetry in two-dimensions: an explicit recurrence formula for the conformal partial wave amplitude,” Commun. Math. Phys
1984
Earlier work this paper cites.
A. B. Zamolodchikov, “Conformal symmetry in two-dimensional space: recursion representation of conformal block,” Theoretical and Mathematical Physics
1987
Earlier work this paper cites.
A. Zamolodchikov, “Conformal Scalar Field on the Hyperelliptic Curve and Critical Ashkin-teller Multipoint Correlation Functions,” Nucl. Phys. B
1987
Earlier work this paper cites.
E. Witten, “Coadjoint Orbits of the Virasoro Group,” Commun. Math. Phys
1988
Earlier work this paper cites.
A. Alekseev and S. L. Shatashvili, “Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity,” Nucl. Phys
1989
Earlier work this paper cites.

Similar

B. Rai and V. Rodgers, “From Coadjoint Orbits to Scale Invariant WZNW Type Actions and 2-D Quantum Gravity Action,” Nucl. Phys. B
1990
Cited alongside, same era.
H. L. Verlinde, “Conformal Field Theory, 2-D Quantum Gravity and Quantization of Teichmuller Space,” Nucl. Phys. B
1990
Cited alongside, same era.
K. Alkalaev and M. Pavlov, “Holographic variables for CFT 2 conformal blocks with heavy operators,” arXiv:2001.02604 [hep-th]
Original
2001
Cited alongside, same era.
J.-F. Fortin, W.-J. Ma, and W. Skiba, “Six-Point Conformal Blocks in the Snowflake Channel,” arXiv:2004.02824 [hep-th]
Original
2004
Cited alongside, same era.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2004
Cited alongside, same era.

Then

K. B. Alkalaev, “Many-point classical conformal blocks and geodesic networks on the hyperbolic plane,” JHEP
Original
2016
Later among the works it cites.
J. Maldacena, S. H. Shenker, and D. Stanford, “A bound on chaos,” JHEP
Original
2016
Later among the works it cites.
G. Turiaci and H. Verlinde, “On CFT and Quantum Chaos,” JHEP
Original
2016
Later among the works it cites.
T. Anous, T. Hartman, A. Rovai, and J. Sonner, “Black Hole Collapse in the 1/c Expansion,” JHEP
Original
2016
Later among the works it cites.
A. L. Fitzpatrick, J. Kaplan, D. Li, and J. Wang, “On information loss in AdS 3
Original

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2020

On the Virasoro six-point identity block and chaos

Anous, Tarek, Haehl, Felix M.

Understand

We study six-point correlation functions in two dimensional conformal field theory, where the six operators are grouped in pairs with equal conformal dimension.

Assuming large central charge $c$ and a sparse spectrum, the leading contribution to this correlation function is the six-point Virasoro identity block - corresponding to each distinct pair of operators fusing into the identity and its descendants.
We call this the star channel.
One particular term in the star channel identity block is the stress tensor $SL(2,\mathbb{R})$ (global) block, for which we derive an explicit expression.

Built on

S. Parikh, “Holographic dual of the five-point conformal block,” JHEP
Original
1901
Earlier work this paper cites.
T. Anous and J. Sonner, “Phases of scrambling in eigenstates,” SciPost Phys
Original
1903
Earlier work this paper cites.
Y. Kusuki and M. Miyaji, “Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block,” arXiv:1905.02191 [hep-th]
Original
1905
Earlier work this paper cites.
C. B. Jepsen and S. Parikh, “Propagator identities, holographic conformal blocks, and higher-point AdS diagrams,” JHEP
Original
1906
Earlier work this paper cites.
K. Jensen, “Scrambling in nearly thermalized states at large central charge,” arXiv:1906.05852 [hep-th]
Original
1906
Earlier work this paper cites.
Y.-H. Qi, S.-J. Sin, and J. Yoon, “Quantum Correction to Chaos in Schwarzian Theory,” JHEP
Original
1906
Earlier work this paper cites.
M. Kulaxizi, G. S. Ng, and A. Parnachev, “Subleading Eikonal, AdS/CFT and Double Stress Tensors,” JHEP
Original
1907
Earlier work this paper cites.
A. L. Fitzpatrick, K.-W. Huang, and D. Li, “Probing universalities in d ¿ 2 CFTs: from black holes to shockwaves,” JHEP
Original
1907
Earlier work this paper cites.
F. M. Haehl, W. Reeves, and M. Rozali, “Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs,” JHEP
Original
1909
Earlier work this paper cites.
J.-F. Fortin, W. Ma, and W. Skiba, “Higher-Point Conformal Blocks in the Comb Channel,” arXiv:1911.11046 [hep-th]
Original
1911
Earlier work this paper cites.
S. Parikh, “A multipoint conformal block chain in d d dimensions,” arXiv:1911.09190 [hep-th]
Original
1911
Earlier work this paper cites.
S. Saran, “Hypergeometric functions of three variables,” Ganita
1954
Earlier work this paper cites.
S. Saran et al
1955
Earlier work this paper cites.
R. C. PANDEY, “On certain hypergeometric transformations,” Journal of Mathematics and Mechanics
1963
Earlier work this paper cites.
A. I. Larkin and Y. N. Ovchinnikov, “Quasiclassical method in the theory of superconductivity,” Sov.Phys.JETP
1969
Earlier work this paper cites.
A. Zamolodchikov, “Conformal symmetry in two-dimensions: an explicit recurrence formula for the conformal partial wave amplitude,” Commun. Math. Phys
1984
Earlier work this paper cites.
A. B. Zamolodchikov, “Conformal symmetry in two-dimensional space: recursion representation of conformal block,” Theoretical and Mathematical Physics
1987
Earlier work this paper cites.
A. Zamolodchikov, “Conformal Scalar Field on the Hyperelliptic Curve and Critical Ashkin-teller Multipoint Correlation Functions,” Nucl. Phys. B
1987
Earlier work this paper cites.
E. Witten, “Coadjoint Orbits of the Virasoro Group,” Commun. Math. Phys
1988
Earlier work this paper cites.
A. Alekseev and S. L. Shatashvili, “Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity,” Nucl. Phys
1989
Earlier work this paper cites.

Similar

B. Rai and V. Rodgers, “From Coadjoint Orbits to Scale Invariant WZNW Type Actions and 2-D Quantum Gravity Action,” Nucl. Phys. B
1990
Cited alongside, same era.
H. L. Verlinde, “Conformal Field Theory, 2-D Quantum Gravity and Quantization of Teichmuller Space,” Nucl. Phys. B
1990
Cited alongside, same era.
K. Alkalaev and M. Pavlov, “Holographic variables for CFT 2 conformal blocks with heavy operators,” arXiv:2001.02604 [hep-th]
Original
2001
Cited alongside, same era.
J.-F. Fortin, W.-J. Ma, and W. Skiba, “Six-Point Conformal Blocks in the Snowflake Channel,” arXiv:2004.02824 [hep-th]
Original
2004
Cited alongside, same era.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2004
Cited alongside, same era.