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S. Parikh, “Holographic dual of the five-point conformal block,” JHEP 05
Original
1901
Earlier work this paper cites.
A. Huang, B. Stoica, and S.-T. Yau, “General relativity from p p -adic strings,” 1901.02013
Original
1901
Earlier work this paper cites.
L.-Y. Hung, W. Li, and C. M. Melby-Thompson, “ p p -adic CFT is a holographic tensor network,” JHEP 04
Original
1902
Earlier work this paper cites.
I. Buric, V. Schomerus, and E. Sobko, “Superconformal Blocks: General Theory,” 1904.04852
Original
1904
Earlier work this paper cites.
S. Albayrak, D. Meltzer, and D. Poland, “More Analytic Bootstrap: Nonperturbative Effects and Fermions,” JHEP 08
Original
1904
Earlier work this paper cites.
J.-F. Fortin and W. Skiba, “A recipe for conformal blocks,” 1905.00036
Original
1905
Earlier work this paper cites.
J.-F. Fortin and W. Skiba, “New Methods for Conformal Correlation Functions,” 1905.00434
Original
1905
Earlier work this paper cites.
G. Bentsen, T. Hashizume, A. S. Buyskikh, E. J. Davis, A. J. Daley, S. S. Gubser, and M. Schleier-Smith, “Treelike interactions and fast scrambling with cold atoms,” Phys. Rev. Lett. 123
Original
1905
Earlier work this paper cites.
V. Gonçalves, R. Pereira, and X. Zhou, “ 20 ′ 20^{\prime} Five-Point Function from A d S 5 × S 5 AdS_{5}\times S^{5} Supergravity,” JHEP 10
Original
1906
Earlier work this paper cites.
C. B. Jepsen and S. Parikh, “Propagator identities, holographic conformal blocks, and higher-point AdS diagrams,” JHEP 10
Original
1906
Earlier work this paper cites.
S. S. Gubser, C. B. Jepsen, Z. Ji, B. Trundy, and A. Yarom, “Non-local non-linear sigma models,” JHEP 09
Original
1906
Earlier work this paper cites.
R. S. Erramilli, L. V. Iliesiu, and P. Kravchuk, “Recursion relation for general 3d blocks,” 1907.11247
Original
1907
Earlier work this paper cites.
J.-F. Fortin, V. Prilepina, and W. Skiba, “Conformal Four-Point Correlation Functions from the Operator Product Expansion,” 1907.10506
Original
1907
Earlier work this paper cites.
D. Baumann, C. D. Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds,” 1910.14051
Original
1910
Earlier work this paper cites.
I. Burić, V. Schomerus, and M. Isachenkov, “Conformal Group Theory of Tensor Structures,” 1910.08099
Original
1910
Earlier work this paper cites.
S. Ebert, H.-Y. Sun, and M.-Y. Zhang, “Probing holography in p p -adic CFT,” 1911.06313
Original
1911
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, and R. Gatto, “Manifestly conformal covariant operator-product expansion,” Lett. Nuovo Cim. 2S2
1971
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi, and R. Gatto, “Covariant expansion of the conformal four-point function,” Nucl. Phys. B49
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, and R. Gatto, “Tensor representations of conformal algebra and conformally covariant operator product expansion,” Annals Phys. 76
1973
Earlier work this paper cites.
A. M. Polyakov, “Nonhamiltonian approach to conformal quantum field theory,” Zh. Eksp. Teor. Fiz
1974
Earlier work this paper cites.
S. Ferrara, R. Gatto, and A. F. Grillo, “Properties of Partial Wave Amplitudes in Conformal Invariant Field Theories,” Nuovo Cim. A26
1975
Earlier work this paper cites.
A. B. Zamolodchikov, “Conformal Symmetry in Two-Dimensions: An Explicit Recurrence Formula for the Conformal Partial Wave Amplitude,” Commun. Math. Phys. 96
1984
Earlier work this paper cites.
E. Melzer, “Nonarchimedean Conformal Field Theories,” Int. J. Mod. Phys. A4
1989
Earlier work this paper cites.
Springer, 1997
F. Q. Gouvêa, p-adic Numbers: An Introduction · 1997
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B428
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B599
2001
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys. B678
2004
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP 12
Original
2008
Earlier work this paper cites.

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2019

A multipoint conformal block chain in $d$ dimensions

Parikh, Sarthak

Understand

Conformal blocks play a central role in CFTs as the basic, theory-independent building blocks.

However, only limited results are available concerning multipoint blocks associated with the global conformal group.
In this paper, we systematically work out the $d$-dimensional $n$-point global conformal blocks (for arbitrary $d$ and $n$) for external and exchanged scalar operators in the so-called comb channel.
We use kinematic aspects of holography and previously worked out higher-point AdS propagator identities to first obtain the geodesic diagram representation for the $(n+2)$-point block.