Built on

E. Melzer, “Nonarchimedean Conformal Field Theories,” Int. J. Mod. Phys
1989
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys
1999
Earlier work this paper cites.
G. E. Andrews, R. Askey, and R. Roy, “Special Functions, volume 71 of Encyclopedia of Mathematics and its Applications,” 1999
1999
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2003
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
Original
2008
Earlier work this paper cites.
F. Caracciolo and V. S. Rychkov, “Rigorous Limits on the Interaction Strength in Quantum Field Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP
Original
2011
Earlier work this paper cites.
D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP
Original
2012
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, “Solving the 3D Ising Model with the Conformal Bootstrap,” Phys. Rev
Original
2012
Earlier work this paper cites.
A. L. Fitzpatrick and J. Kaplan, “Unitarity and the Holographic S-Matrix,” JHEP
Original
2012
Earlier work this paper cites.
A. L. Fitzpatrick, J. Kaplan, and M. T. Walters, “Universality of Long-Distance AdS Physics from the CFT Bootstrap,” JHEP
Original
2014
Earlier work this paper cites.
D. Simmons-Duffin, “Projectors, Shadows, and Conformal Blocks,” JHEP
Original
2014
Earlier work this paper cites.
A. L. Fitzpatrick, J. Kaplan, and M. T. Walters, “Virasoro Conformal Blocks and Thermality from Classical Background Fields,” JHEP
Original
2015
Earlier work this paper cites.
E. Hijano, P. Kraus, and R. Snively, “Worldline approach to semi-classical conformal blocks,” JHEP
Original
2015
Earlier work this paper cites.
K. B. Alkalaev and V. A. Belavin, “Classical conformal blocks via AdS/CFT correspondence,” JHEP
Original
2015
Earlier work this paper cites.

Similar

E. Hijano, P. Kraus, E. Perlmutter, and R. Snively, “Semiclassical Virasoro blocks from AdS 3
Original
2015
Cited alongside, same era.
E. Hijano, P. Kraus, E. Perlmutter, and R. Snively, “Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks,” JHEP
Original
2016
Cited alongside, same era.
A. Bhatta, P. Raman, and N. V. Suryanarayana, “Holographic Conformal Partial Waves as Gravitational Open Wilson Networks,” JHEP
Original
2016
Cited alongside, same era.
K. B. Alkalaev and V. A. Belavin, “Monodromic vs geodesic computation of Virasoro classical conformal blocks,” Nucl. Phys
Original
2016
Cited alongside, same era.
K. B. Alkalaev and V. A. Belavin, “From global to heavy-light: 5-point conformal blocks,” JHEP

Then

P. Kraus, A. Maloney, H. Maxfield, G. S. Ng, and J.-q. Wu, “Witten Diagrams for Torus Conformal Blocks,” JHEP
Original
2017
Later among the works it cites.
K. Tamaoka, “Geodesic Witten diagrams with antisymmetric tensor exchange,” Phys. Rev
Original
2017
Later among the works it cites.
C. Sleight and M. Taronna, “Spinning Witten Diagrams,” JHEP
Original
2017
Later among the works it cites.
S. S. Gubser, J. Knaute, S. Parikh, A. Samberg, and P. Witaszczyk, “ p p -adic AdS/CFT,” Commun. Math. Phys
Original
2017
Later among the works it cites.
S. S. Gubser, C. Jepsen, S. Parikh, and B. Trundy, “O(N) and O(N) and O(N),” JHEP
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2019

Holographic dual of the five-point conformal block

Parikh, Sarthak

Understand

We present the holographic object which computes the five-point global conformal block in arbitrary dimensions for external and exchanged scalar operators.

This object is interpreted as a weighted sum over infinitely many five-point geodesic bulk diagrams.
These five-point geodesic bulk diagrams provide a generalization of their previously studied four-point counterparts.
We prove our claim by showing that the aforementioned sum over geodesic bulk diagrams is the appropriate eigenfunction of the conformal Casimir operator with the right boundary conditions.

Built on

E. Melzer, “Nonarchimedean Conformal Field Theories,” Int. J. Mod. Phys
1989
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys
1999
Earlier work this paper cites.
G. E. Andrews, R. Askey, and R. Roy, “Special Functions, volume 71 of Encyclopedia of Mathematics and its Applications,” 1999
1999
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2003
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
Original
2008
Earlier work this paper cites.
F. Caracciolo and V. S. Rychkov, “Rigorous Limits on the Interaction Strength in Quantum Field Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP
Original
2011
Earlier work this paper cites.
D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP
Original
2012
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, “Solving the 3D Ising Model with the Conformal Bootstrap,” Phys. Rev
Original
2012
Earlier work this paper cites.
A. L. Fitzpatrick and J. Kaplan, “Unitarity and the Holographic S-Matrix,” JHEP
Original
2012
Earlier work this paper cites.
A. L. Fitzpatrick, J. Kaplan, and M. T. Walters, “Universality of Long-Distance AdS Physics from the CFT Bootstrap,” JHEP
Original
2014
Earlier work this paper cites.
D. Simmons-Duffin, “Projectors, Shadows, and Conformal Blocks,” JHEP
Original
2014
Earlier work this paper cites.
A. L. Fitzpatrick, J. Kaplan, and M. T. Walters, “Virasoro Conformal Blocks and Thermality from Classical Background Fields,” JHEP
Original
2015
Earlier work this paper cites.
E. Hijano, P. Kraus, and R. Snively, “Worldline approach to semi-classical conformal blocks,” JHEP
Original
2015
Earlier work this paper cites.
K. B. Alkalaev and V. A. Belavin, “Classical conformal blocks via AdS/CFT correspondence,” JHEP
Original
2015
Earlier work this paper cites.

Similar

E. Hijano, P. Kraus, E. Perlmutter, and R. Snively, “Semiclassical Virasoro blocks from AdS 3
Original
2015
Cited alongside, same era.
E. Hijano, P. Kraus, E. Perlmutter, and R. Snively, “Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks,” JHEP
Original
2016
Cited alongside, same era.
A. Bhatta, P. Raman, and N. V. Suryanarayana, “Holographic Conformal Partial Waves as Gravitational Open Wilson Networks,” JHEP
Original
2016
Cited alongside, same era.
K. B. Alkalaev and V. A. Belavin, “Monodromic vs geodesic computation of Virasoro classical conformal blocks,” Nucl. Phys
Original
2016
Cited alongside, same era.
K. B. Alkalaev and V. A. Belavin, “From global to heavy-light: 5-point conformal blocks,” JHEP

Then

P. Kraus, A. Maloney, H. Maxfield, G. S. Ng, and J.-q. Wu, “Witten Diagrams for Torus Conformal Blocks,” JHEP
Original
2017
Later among the works it cites.
K. Tamaoka, “Geodesic Witten diagrams with antisymmetric tensor exchange,” Phys. Rev
Original
2017
Later among the works it cites.
C. Sleight and M. Taronna, “Spinning Witten Diagrams,” JHEP
Original
2017
Later among the works it cites.
S. S. Gubser, J. Knaute, S. Parikh, A. Samberg, and P. Witaszczyk, “ p p -adic AdS/CFT,” Commun. Math. Phys
Original
2017
Later among the works it cites.
S. S. Gubser, C. Jepsen, S. Parikh, and B. Trundy, “O(N) and O(N) and O(N),” JHEP
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2016

Cited alongside, same era.

P. Banerjee, S. Datta, and R. Sinha, “Higher-point conformal blocks and entanglement entropy in heavy states,” JHEP

Original

2016

Cited alongside, same era.

M. Besken, A. Hegde, E. Hijano, and P. Kraus, “Holographic conformal blocks from interacting Wilson lines,” JHEP

Original

2016

Cited alongside, same era.

K. B. Alkalaev, “Many-point classical conformal blocks and geodesic networks on the hyperbolic plane,” JHEP

Original

2016

Cited alongside, same era.

B. Czech, L. Lamprou, S. McCandlish, B. Mosk, and J. Sully, “A Stereoscopic Look into the Bulk,” JHEP

Original

2016

Cited alongside, same era.

J. de Boer, F. M. Haehl, M. P. Heller, and R. C. Myers, “Entanglement, holography and causal diamonds,” JHEP

Original

2016

Cited alongside, same era.

M. Nishida and K. Tamaoka, “Geodesic Witten diagrams with an external spinning field,” PTEP

Original

2017

Cited alongside, same era.

A. Castro, E. Llabrés, and F. Rejon-Barrera, “Geodesic Diagrams, Gravitational Interactions & OPE Structures,” JHEP

Original

2017

Cited alongside, same era.

2017