Built on

W. Fan, A. Fotopoulos and T. R. Taylor, “Soft Limits of Yang-Mills Amplitudes and Conformal Correlators,” JHEP 05
Original
1903
Earlier work this paper cites.
M. Pate, A. M. Raclariu, A. Strominger and E. Y. Yuan, “Celestial operator products of gluons and gravitons,” Rev. Math. Phys. 33
Original
1910
Earlier work this paper cites.
H. Osborn, “Conformal Blocks for Arbitrary Spins in Two Dimensions,” Phys. Lett. B 718
Original
1941
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, “The shadow operator formalism for conformal algebra. Vacuum expectation values and operator products,” Lett. Nuovo Cim. 4S2
1972
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. B 49
1973
Earlier work this paper cites.
M. Ademollo, A. D’Adda, R. D’Auria, F. Gliozzi, E. Napolitano, S. Sciuto and P. Di Vecchia, “Soft Dilations and Scale Renormalization in Dual Theories,” Nucl. Phys. B 94
1975
Earlier work this paper cites.
J. A. Shapiro, “On the Renormalization of Dual Models,” Phys. Rev. D 11
1975
Earlier work this paper cites.
S. J. Parke and T. R. Taylor, “An Amplitude for n n Gluon Scattering,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.

Similar

P. Di Francesco, P. Mathieu, D. Sénéchal, “Conformal Field Theory,” Springer (1997)
1997
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L. J. Dixon, E. W. N. Glover and V. V. Khoze, “MHV rules for Higgs plus multi-gluon amplitudes,” JHEP 12
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V. Dotsenko, “Série de Cours sur la Théorie Conforme”. DEA. 2006. <cel-00092929>. https://cel.archives-ouvertes.fr/cel-00092929
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S. Banerjee and S. Ghosh, “MHV Gluon Scattering Amplitudes from Celestial Current Algebras,” JHEP 10
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2011
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S. Stieberger and T. R. Taylor, “New relations for Einstein–Yang–Mills amplitudes,” Nucl. Phys. B 913
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2016
Cited alongside, same era.

Then

A. Strominger, Lectures on the Infrared Structure of Gravity and Gauge Theory
Original
2018
Later among the works it cites.
S. Stieberger and T. R. Taylor, “Symmetries of Celestial Amplitudes,” Phys. Lett. B 793
Original
2019
Later among the works it cites.
S. Pasterski, “Lectures on Celestial Amplitudes,” Eur. Phys. J. C 81
Original
2021
Later among the works it cites.
W. Fan, A. Fotopoulos, S. Stieberger, T. R. Taylor and B. Zhu, “Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators,” JHEP 11
Original
2021
Later among the works it cites.
W. Fan, A. Fotopoulos, S. Stieberger, T. R. Taylor and B. Zhu, “Conformal blocks from celestial gluon amplitudes,” JHEP 05

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2022

Elements of Celestial Conformal Field Theory

Fan, Wei, Fotopoulos, Angelos, Stieberger, Stephan et al.

Understand

In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT).

The simplest way of converting momentum space amplitudes into CCFT correlators is by taking their Mellin transforms with respect to light-cone energies.
For massless particles, like gluons, however, such a construction leads to three-point and four-point correlators that vanish everywhere except for a measure zero hypersurface of celestial coordinates.
This is due to the four-dimensional momentum conservation law that constrains the insertion points of the operators associated with massless particles.

Built on

W. Fan, A. Fotopoulos and T. R. Taylor, “Soft Limits of Yang-Mills Amplitudes and Conformal Correlators,” JHEP 05
Original
1903
Earlier work this paper cites.
M. Pate, A. M. Raclariu, A. Strominger and E. Y. Yuan, “Celestial operator products of gluons and gravitons,” Rev. Math. Phys. 33
Original
1910
Earlier work this paper cites.
H. Osborn, “Conformal Blocks for Arbitrary Spins in Two Dimensions,” Phys. Lett. B 718
Original
1941
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, “The shadow operator formalism for conformal algebra. Vacuum expectation values and operator products,” Lett. Nuovo Cim. 4S2
1972
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. B 49
1973
Earlier work this paper cites.
M. Ademollo, A. D’Adda, R. D’Auria, F. Gliozzi, E. Napolitano, S. Sciuto and P. Di Vecchia, “Soft Dilations and Scale Renormalization in Dual Theories,” Nucl. Phys. B 94
1975
Earlier work this paper cites.
J. A. Shapiro, “On the Renormalization of Dual Models,” Phys. Rev. D 11
1975
Earlier work this paper cites.
S. J. Parke and T. R. Taylor, “An Amplitude for n n Gluon Scattering,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.

Similar

P. Di Francesco, P. Mathieu, D. Sénéchal, “Conformal Field Theory,” Springer (1997)
1997
Cited alongside, same era.
L. J. Dixon, E. W. N. Glover and V. V. Khoze, “MHV rules for Higgs plus multi-gluon amplitudes,” JHEP 12
2004
Cited alongside, same era.
V. Dotsenko, “Série de Cours sur la Théorie Conforme”. DEA. 2006. <cel-00092929>. https://cel.archives-ouvertes.fr/cel-00092929
2006
Cited alongside, same era.
S. Banerjee and S. Ghosh, “MHV Gluon Scattering Amplitudes from Celestial Current Algebras,” JHEP 10
Original
2011
Cited alongside, same era.
S. Stieberger and T. R. Taylor, “New relations for Einstein–Yang–Mills amplitudes,” Nucl. Phys. B 913
Original
2016
Cited alongside, same era.