Built on

Thomas, Tracy Yerkes, "On Conformal Geometry." Proceedings of the National Academy of Sciences of the United States of America 12, no. 5 (1926): 352-59
1926
Earlier work this paper cites.
K. Symanzik, “On Calculations in conformal invariant field theories,” Lett. Nuovo Cim. 3
Original
1972
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys. B 678
2004
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP 1103
Original
2011
Earlier work this paper cites.
A. L. Fitzpatrick, J. Kaplan, J. Penedones, S. Raju and B. C. van Rees, “A Natural Language for AdS/CFT Correlators,” JHEP 1111
Original
2011
Earlier work this paper cites.
M. F. Paulos, “Towards Feynman rules for Mellin amplitudes,” JHEP 1110
Original
2011
Earlier work this paper cites.
M. S. Costa, J. Penedones, D. Poland and S. Rychkov, “Spinning Conformal Blocks,” JHEP 1111
Original
2011
Earlier work this paper cites.
M. S. Costa, J. Penedones, D. Poland and S. Rychkov, “Spinning Conformal Correlators,” JHEP 1111
Original
2011
Earlier work this paper cites.
A. L. Fitzpatrick and J. Kaplan, “Unitarity and the Holographic S-Matrix,” JHEP 1210
Original
2012
Earlier work this paper cites.
A. L. Fitzpatrick and J. Kaplan, “Analyticity and the Holographic S-Matrix,” JHEP 1210
Original
2012
Earlier work this paper cites.
M. F. Paulos, M. Spradlin and A. Volovich, “Mellin Amplitudes for Dual Conformal Integrals,” JHEP 1208
Original
2012
Earlier work this paper cites.

Similar

M. S. Costa, V. Goncalves and J. Penedones, “Conformal Regge theory,” JHEP 1212
Original
2012
Cited alongside, same era.
M. S. Costa, V. Goncalves and J. Penedones, “Spinning AdS Propagators,” JHEP 1409
Original
2014
Cited alongside, same era.
V. Gonçalves, J. Penedones and E. Trevisani, “Factorization of Mellin amplitudes,” JHEP 1510
Original
2015
Cited alongside, same era.
X. Bekaert, J. Erdmenger, D. Ponomarev and C. Sleight, “Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange,” JHEP 1503
Original
2015
Cited alongside, same era.
X. Bekaert, J. Erdmenger, D. Ponomarev and C. Sleight, “Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory,” JHEP 1511

Then

R. Gopakumar, A. Kaviraj, K. Sen and A. Sinha, “Conformal Bootstrap in Mellin Space,” Phys. Rev. Lett. 118
Original
2017
Closest in time.
P. Dey, A. Kaviraj and A. Sinha, “Mellin space bootstrap for global symmetry,” JHEP 1707
Original
2017
Closest in time.
L. Rastelli and X. Zhou, “Mellin amplitudes for A d S 5 × S 5 AdS_{5}\times S^{5} ,” Phys. Rev. Lett. 118
Original
2017
Closest in time.
O. Aharony, L. F. Alday, A. Bissi and E. Perlmutter, “Loops in AdS from Conformal Field Theory,” JHEP 1707
Original
2017
Closest in time.
C. Sleight and M. Taronna, “Spinning Witten Diagrams,” JHEP 1706
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…

2017

Towards Spinning Mellin Amplitudes

Chen, Heng-Yu, Kuo, En-Jui, Kyono, Hideki

Understand

We construct the Mellin representation of four point conformal correlation function with external primary operators with arbitrary integer spacetime spins, and obtain a natural proposal for spinning Mellin amplitudes.

By restricting to the exchange of symmetric traceless primaries, we generalize the Mellin transform for scalar case to introduce discrete Mellin variables for incorporating spin degrees of freedom.
Based on the structures about spinning three and four point Witten diagrams, we also obtain a generalization of the Mack polynomial which can be regarded as a natural kinematical polynomial basis for computing spinning Mellin amplitudes using different choices of interaction vertices.