Built on

L. Rastelli, K. Roumpedakis, and X. Zhou, “ 𝐀𝐝𝐒 𝟑 × 𝐒 𝟑 \mathbf{AdS_{3}\times S^{3}} Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry,” arXiv:1905.11983 [hep-th]
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
Original
1906
Earlier work this paper cites.
D. Mazáč, L. Rastelli, and X. Zhou, “A Basis of Analytic Functionals for CFTs in General Dimension,” arXiv:1910.12855 [hep-th]
Original
1910
Earlier work this paper cites.
C. Sleight and M. Taronna, “The Unique Polyakov Blocks,” arXiv:1912.07998 [hep-th]
Original
1912
Earlier work this paper cites.
L. F. Alday and X. Zhou, “Simplicity of AdS Supergravity at One Loop,” arXiv:1912.02663 [hep-th]
Original
1912
Earlier work this paper cites.
R. Corrado, B. Florea, and R. McNees, “Correlation functions of operators and Wilson surfaces in the d = 6, (0,2) theory in the large N limit,” Phys. Rev
1999
Earlier work this paper cites.
F. Bastianelli and R. Zucchini, “Three point functions of chiral primary operators in d = 3, N=8 and d = 6, N=(2,0) SCFT at large N,” Phys. Lett
1999
Earlier work this paper cites.
G. Arutyunov and E. Sokatchev, “Implications of superconformal symmetry for interacting (2,0) tensor multiplets,” Nucl. Phys
2002
Earlier work this paper cites.

Similar

S. Giusto, R. Russo, A. Tyukov, and C. Wen, “The CFT 6 origin of all tree-level 4-point correlators in AdS 3 × S 3 {}_{3}\times S^{3} ,” arXiv:2005.08560 [hep-th]
Original
2005
Cited alongside, same era.
L. F. Alday, S. M. Chester, and H. Raj, “6d (2,0) and M-theory at 1-loop,” arXiv:2005.07175 [hep-th]
Original
2005
Cited alongside, same era.
M. Nirschl and H. Osborn, “Superconformal Ward identities and their solution,” Nucl. Phys. B
2005
Cited alongside, same era.
L. F. Alday and X. Zhou, “All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs,” arXiv:2006.12505 [hep-th]
Original
2006
Cited alongside, same era.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP
Original

Then

L. Rastelli and X. Zhou, “Mellin amplitudes for A d S 5 × S 5 AdS_{5}\times S^{5} ,” Phys. Rev. Lett
Original
2017
Later among the works it cites.
R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha, “Conformal Bootstrap in Mellin Space,” Phys. Rev. Lett
Original
2017
Later among the works it cites.
R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha, “A Mellin space approach to the conformal bootstrap,” JHEP
Original
2017
Later among the works it cites.
L. Rastelli and X. Zhou, “Holographic Four-Point Functions in the (2, 0) Theory,” JHEP
Original
2018
Later among the works it cites.
X. Zhou, “On Superconformal Four-Point Mellin Amplitudes in Dimension d > 2 d>2 ,” JHEP

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…

2020

All Tree-Level Correlators for M-theory on $AdS_7 \times S^4$

Alday, Luis F., Zhou, Xinan

Understand

We present a constructive derivation of all four-point tree-level holographic correlators for eleven dimensional supergravity on $AdS_7 \times S^4$.

These correlators correspond to four-point functions of arbitrary one-half BPS operators in the six-dimensional $(2,0)$ theory at large central charge.
The crucial observation is that the polar part of the correlators in Mellin space is fully captured by a drastically simpler Maximally R-symmetry Violating (MRV) amplitude, while the contact part is fully fixed by superconformal Ward identities and the flat space limit.

Built on

L. Rastelli, K. Roumpedakis, and X. Zhou, “ 𝐀𝐝𝐒 𝟑 × 𝐒 𝟑 \mathbf{AdS_{3}\times S^{3}} Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry,” arXiv:1905.11983 [hep-th]
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
Original
1906
Earlier work this paper cites.
D. Mazáč, L. Rastelli, and X. Zhou, “A Basis of Analytic Functionals for CFTs in General Dimension,” arXiv:1910.12855 [hep-th]
Original
1910
Earlier work this paper cites.
C. Sleight and M. Taronna, “The Unique Polyakov Blocks,” arXiv:1912.07998 [hep-th]
Original
1912
Earlier work this paper cites.
L. F. Alday and X. Zhou, “Simplicity of AdS Supergravity at One Loop,” arXiv:1912.02663 [hep-th]
Original
1912
Earlier work this paper cites.
R. Corrado, B. Florea, and R. McNees, “Correlation functions of operators and Wilson surfaces in the d = 6, (0,2) theory in the large N limit,” Phys. Rev
1999
Earlier work this paper cites.
F. Bastianelli and R. Zucchini, “Three point functions of chiral primary operators in d = 3, N=8 and d = 6, N=(2,0) SCFT at large N,” Phys. Lett
1999
Earlier work this paper cites.
G. Arutyunov and E. Sokatchev, “Implications of superconformal symmetry for interacting (2,0) tensor multiplets,” Nucl. Phys
2002
Earlier work this paper cites.

Similar

S. Giusto, R. Russo, A. Tyukov, and C. Wen, “The CFT 6 origin of all tree-level 4-point correlators in AdS 3 × S 3 {}_{3}\times S^{3} ,” arXiv:2005.08560 [hep-th]
Original
2005
Cited alongside, same era.
L. F. Alday, S. M. Chester, and H. Raj, “6d (2,0) and M-theory at 1-loop,” arXiv:2005.07175 [hep-th]
Original
2005
Cited alongside, same era.
M. Nirschl and H. Osborn, “Superconformal Ward identities and their solution,” Nucl. Phys. B
2005
Cited alongside, same era.
L. F. Alday and X. Zhou, “All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs,” arXiv:2006.12505 [hep-th]
Original
2006
Cited alongside, same era.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP
Original

Then

L. Rastelli and X. Zhou, “Mellin amplitudes for A d S 5 × S 5 AdS_{5}\times S^{5} ,” Phys. Rev. Lett
Original
2017
Later among the works it cites.
R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha, “Conformal Bootstrap in Mellin Space,” Phys. Rev. Lett
Original
2017
Later among the works it cites.
R. Gopakumar, A. Kaviraj, K. Sen, and A. Sinha, “A Mellin space approach to the conformal bootstrap,” JHEP
Original
2017
Later among the works it cites.
L. Rastelli and X. Zhou, “Holographic Four-Point Functions in the (2, 0) Theory,” JHEP
Original
2018
Later among the works it cites.
X. Zhou, “On Superconformal Four-Point Mellin Amplitudes in Dimension d > 2 d>2 ,” JHEP

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2011

Cited alongside, same era.

C. Cheung, K. Kampf, J. Novotny, and J. Trnka, “Effective Field Theories from Soft Limits of Scattering Amplitudes,” Phys. Rev. Lett

Original

2015

Cited alongside, same era.

C. Beem, M. Lemos, L. Rastelli, and B. C. van Rees, “The (2, 0) superconformal bootstrap,” Phys. Rev. D

Original

2016

Cited alongside, same era.

G. Mack, “D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes,” arXiv:0907.2407 [hep-th]

Original

Cited in the paper.

L. Rastelli and X. Zhou, “How to Succeed at Holographic Correlators Without Really Trying,” arXiv:1710.05923 [hep-th]

Original

Cited in the paper.

Cubic vertices for s k s_{k} have been obtained in the literature [ 16 , 17 ] . Other vertices such as the general quartic vertices have not been worked out. By contrast, the general quartic vertices in A d S 5 × S 5 AdS_{5}\times S^{5} were obtained in [ Arutyunov:1999fb

Cited in the paper.

The first visible long operator exchanged has conformal twist 𝔱 = 2 m a x ⁡ { k 1 + k 3 , k 2 + k 4 } + 4 \mathfrak{t}=2\mathop{max}\displaylimits\{k_{1}+k_{3},k_{2}+k_{4}\}+4 , and corresponds to a double pole at u = 𝔱 u=\mathfrak{t} in the integrand of ( 13

Cited in the paper.

This corresponds to a special choice of contact terms for exchange diagrams

Cited in the paper.

Original

2018

Later among the works it cites.

S. M. Chester, S. S. Pufu, and X. Yin, “The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity,” JHEP

Original

2018

Later among the works it cites.

S. M. Chester and E. Perlmutter, “M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture,” JHEP

Original

2018

Later among the works it cites.