Built on

W. Maier, L. j. slater, generalized hypergeometric functions. xiii + 273 s. m. fig. u. tab. cambridge 1966. university press. preis geb. 70 s. net , ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 46
1966
Earlier work this paper cites.
R. Askey, Continuous hahn polynomials , Journal of Physics A: Mathematical and General 18
1985
Earlier work this paper cites.
G. P. Korchemsky, Bethe ansatz for QCD pomeron , Nucl. Phys. B443
1995
Earlier work this paper cites.
R. A. G. E. Andrews and R. Roy, Special functions , Cambridge University Press (1999)
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.
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.
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from Conformal Field Theory , JHEP 10
Original
2009
Earlier work this paper cites.
J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes , JHEP 03
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 11
Original
2011
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. D86
Original
2012
Earlier work this paper cites.
M. S. Costa, V. Goncalves and J. Penedones, Conformal Regge theory , JHEP 12
Original
2012
Earlier work this paper cites.
Z. Komargodski and A. Zhiboedov, Convexity and Liberation at Large Spin , JHEP 11
Original
2013
Earlier work this paper cites.

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A. L. Fitzpatrick, J. Kaplan, D. Poland and D. Simmons-Duffin, The Analytic Bootstrap and AdS Superhorizon Locality , JHEP 12
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Then

O. Aharony, L. F. Alday, A. Bissi and E. Perlmutter, Loops in AdS from Conformal Field Theory , JHEP 07
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Later among the works it cites.
M. F. Paulos, J. Penedones, J. Toledo, B. C. van Rees and P. Vieira, The S-matrix bootstrap II: two dimensional amplitudes , JHEP 11
Original
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Later among the works it cites.
M. F. Paulos, J. Penedones, J. Toledo, B. C. van Rees and P. Vieira, The S-matrix bootstrap. Part I: QFT in AdS , JHEP 11
Original
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Later among the works it cites.
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Original
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Later among the works it cites.
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2018

OPE inversion in Mellin space

Cardona, Carlos

Understand

The fundamental ingredients that build the observables in conformal field theory are the spectrum of operators and the OPE coefficients, or equivalently, the two- and three-point functions of the theory.

Recently an inversion formula solving the OPE coefficients by a convolution over the light-cone double-discontinuities of the correlator has been found by Simon Caron-Huot.
Taking into account that the same OPE data determine the Mellin amplitude representation of the correlator, motivate us to look for an analogous inversion formula in Mellin space, which we develops partially on this paper.

Built on

W. Maier, L. j. slater, generalized hypergeometric functions. xiii + 273 s. m. fig. u. tab. cambridge 1966. university press. preis geb. 70 s. net , ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 46
1966
Earlier work this paper cites.
R. Askey, Continuous hahn polynomials , Journal of Physics A: Mathematical and General 18
1985
Earlier work this paper cites.
G. P. Korchemsky, Bethe ansatz for QCD pomeron , Nucl. Phys. B443
1995
Earlier work this paper cites.
R. A. G. E. Andrews and R. Roy, Special functions , Cambridge University Press (1999)
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.
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.
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from Conformal Field Theory , JHEP 10
Original
2009
Earlier work this paper cites.
J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes , JHEP 03
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 11
Original
2011
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. D86
Original
2012
Earlier work this paper cites.
M. S. Costa, V. Goncalves and J. Penedones, Conformal Regge theory , JHEP 12
Original
2012
Earlier work this paper cites.
Z. Komargodski and A. Zhiboedov, Convexity and Liberation at Large Spin , JHEP 11
Original
2013
Earlier work this paper cites.

Similar

A. L. Fitzpatrick, J. Kaplan, D. Poland and D. Simmons-Duffin, The Analytic Bootstrap and AdS Superhorizon Locality , JHEP 12
Original
2013
Cited alongside, same era.
F. Kos, D. Poland and D. Simmons-Duffin, Bootstrapping Mixed Correlators in the 3D Ising Model , JHEP 11
Original
2014
Cited alongside, same era.
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 II. c-Minimization and Precise Critical Exponents , J. Stat. Phys. 157
Original
2014
Cited alongside, same era.
A. V. Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev and A. Zhiboedov, From correlation functions to event shapes , Nucl. Phys. B884
Original
2014
Cited alongside, same era.
A. Kaviraj, K. Sen and A. Sinha, Analytic bootstrap at large spin , JHEP 11

Then

O. Aharony, L. F. Alday, A. Bissi and E. Perlmutter, Loops in AdS from Conformal Field Theory , JHEP 07
Original
2017
Later among the works it cites.
M. F. Paulos, J. Penedones, J. Toledo, B. C. van Rees and P. Vieira, The S-matrix bootstrap II: two dimensional amplitudes , JHEP 11
Original
2017
Later among the works it cites.
M. F. Paulos, J. Penedones, J. Toledo, B. C. van Rees and P. Vieira, The S-matrix bootstrap. Part I: QFT in AdS , JHEP 11
Original
2017
Later among the works it cites.
S. Caron-Huot, Analyticity in Spin in Conformal Theories , JHEP 09
Original
2017
Later among the works it cites.
L. Rastelli and X. Zhou, Mellin amplitudes for A d S 5 × S 5 AdS_{5}\times S^{5} , Phys. Rev. Lett. 118

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

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Original

2015

Cited alongside, same era.

A. Kaviraj, K. Sen and A. Sinha, Universal anomalous dimensions at large spin and large twist , JHEP 07

Original

2015

Cited alongside, same era.

L. F. Alday, A. Bissi and T. Lukowski, Large spin systematics in CFT , JHEP 11

Original

2015

Cited alongside, same era.

V. Gonçalves, J. Penedones and E. Trevisani, Factorization of Mellin amplitudes , JHEP 10

Original

2015

Cited alongside, same era.

SpringerBriefs in Physics. 2016, 10.1007/978-3-319-43626-5

S. Rychkov, EPFL Lectures on Conformal Field Theory in D¿= 3 Dimensions · 2016

Cited alongside, same era.

L. F. Alday and A. Zhiboedov, Conformal Bootstrap With Slightly Broken Higher Spin Symmetry , JHEP 06

Original

2016

Cited alongside, same era.

D. Simmons-Duffin, The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT , JHEP 03

Original

2017

Cited alongside, same era.

1602.07982

Original

D. Simmons-Duffin, The Conformal Bootstrap , in Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics: New Frontiers in Fields and Strings (TASI 2015): Boulder, CO, USA, June 1-26, 2015 , pp. 1–74, 2017 · 2017

Cited alongside, same era.

Original

2017