Built on

T. W. B. Kibble, Coherent soft-photon states and infrared divergences. iii. asymptotic states and reduction formulas , Phys. Rev. 174
1901
Earlier work this paper cites.
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.
T. Adamo, L. Mason and A. Sharma, Celestial amplitudes and conformal soft theorems , Class. Quant. Grav. 36
Original
1905
Earlier work this paper cites.
A. Guevara, Notes on Conformal Soft Theorems and Recursion Relations in Gravity , [ 1906.07810 ]
Original
1906
Earlier work this paper cites.
S. Choi and R. Akhoury, Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity , JHEP 09
Original
1907
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.
University of Toronto Press, 1952
I. Halperin and L. Schwartz, Introduction to the Theory of Distributions · 1952
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
V. Chung, Infrared Divergence in Quantum Electrodynamics , Phys. Rev. 140
1965
Earlier work this paper cites.
Academic Press, 1968
I. M. Gelfand and G. E. Šilov, Generalized functions. Vol. 2, Spaces of fundamental and generalized functions · 1968
Earlier work this paper cites.
T. W. B. Kibble, Coherent soft-photon states and infrared divergences. ii. mass-shell singularities of green’s functions , Phys. Rev. 173
1968
Earlier work this paper cites.
T. W. B. Kibble, Coherent soft-photon states and infrared divergences. iv. the scattering operator , Phys. Rev. 175
1968
Earlier work this paper cites.
P. P. Kulish and L. D. Faddeev, Asymptotic conditions and infrared divergences in quantum electrodynamics , Theor. Math. Phys. 4
1970
Earlier work this paper cites.
S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Earlier work this paper cites.
A. Ashtekar and R. O. Hansen, A unified treatment of null and spatial infinity in general relativity. I - Universal structure, asymptotic symmetries, and conserved quantities at spatial infinity , J. Math. Phys. 19
1978
Earlier work this paper cites.
A. Ashtekar, Asymptotic Quantization of the Gravitational Field , Phys. Rev. Lett. 46
1981
Earlier work this paper cites.
T. Damour, Analytical calculations of gravitational radiation. , in Fourth Marcel Grossmann Meeting on General Relativity , pp. 365–392, 1986
1986
Earlier work this paper cites.
L. Blanchet, Radiative gravitational fields in general relativity ii. asymptotic behaviour at future null infinity , Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 409
1987
Earlier work this paper cites.
Academic press, 1989
I. Frenkel, J. Lepowsky and A. Meurman, Vertex operator algebras and the Monster · 1989
Earlier work this paper cites.

Similar

Aug., 1995
J. Bertrand, P. Bertrand and J.-P. Ovarlez, The Mellin Transform , in The Transforms and Applications Handbook · 1995
Cited alongside, same era.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory , Phys. Rev. A 52
1995
Cited alongside, same era.
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2002
Cited alongside, same era.
L. Donnay, S. Pasterski and A. Puhm, Asymptotic Symmetries and Celestial CFT , JHEP 09
Original
2005

Then

S. Pasterski and S.-H. Shao, Conformal basis for flat space amplitudes , Phys. Rev. D 96
Original
2017
Later among the works it cites.
C. P. Burgess, J. Hainge, G. Kaplanek and M. Rummel, Failure of Perturbation Theory Near Horizons: the Rindler Example , JHEP 10
Original
2018
Later among the works it cites.
A. Ashtekar, M. Campiglia and A. Laddha, Null infinity, the BMS group and infrared issues , Gen. Rel. Grav. 50
Original
2018
Later among the works it cites.
A. Laddha and A. Sen, Logarithmic Terms in the Soft Expansion in Four Dimensions , JHEP 10
Original
2018
Later among the works it cites.
S. Stieberger and T. R. Taylor, Symmetries of Celestial Amplitudes , Phys. Lett. B 793

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2022

A discrete basis for celestial holography

Freidel, Laurent, Pranzetti, Daniele, Raclariu, Ana-Maria

Understand

Celestial holography provides a reformulation of scattering amplitudes in four dimensional asymptotically flat spacetimes in terms of conformal correlators of operators on the two dimensional celestial sphere in a basis of boost eigenstates.

A basis of {massless particle} states has previously been identified in terms of conformal primary wavefunctions labeled by a boost weight $\Delta = 1 + i\lambda$ with $\lambda \in \mathbb{R}$.
Here we show that a {\it discrete} orthogonal and complete basis exists for $\Delta \in \mathbb{Z}$.
This new basis consists of a tower of discrete memory and Goldstone observables, which are conjugate to each other and allow to reconstruct gravitational signals belonging to the Schwartz space.

Built on

T. W. B. Kibble, Coherent soft-photon states and infrared divergences. iii. asymptotic states and reduction formulas , Phys. Rev. 174
1901
Earlier work this paper cites.
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.
T. Adamo, L. Mason and A. Sharma, Celestial amplitudes and conformal soft theorems , Class. Quant. Grav. 36
Original
1905
Earlier work this paper cites.
A. Guevara, Notes on Conformal Soft Theorems and Recursion Relations in Gravity , [ 1906.07810 ]
Original
1906
Earlier work this paper cites.
S. Choi and R. Akhoury, Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity , JHEP 09
Original
1907
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.
University of Toronto Press, 1952
I. Halperin and L. Schwartz, Introduction to the Theory of Distributions · 1952
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
V. Chung, Infrared Divergence in Quantum Electrodynamics , Phys. Rev. 140
1965
Earlier work this paper cites.
Academic Press, 1968
I. M. Gelfand and G. E. Šilov, Generalized functions. Vol. 2, Spaces of fundamental and generalized functions · 1968
Earlier work this paper cites.
T. W. B. Kibble, Coherent soft-photon states and infrared divergences. ii. mass-shell singularities of green’s functions , Phys. Rev. 173
1968
Earlier work this paper cites.
T. W. B. Kibble, Coherent soft-photon states and infrared divergences. iv. the scattering operator , Phys. Rev. 175
1968
Earlier work this paper cites.
P. P. Kulish and L. D. Faddeev, Asymptotic conditions and infrared divergences in quantum electrodynamics , Theor. Math. Phys. 4
1970
Earlier work this paper cites.
S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Earlier work this paper cites.
A. Ashtekar and R. O. Hansen, A unified treatment of null and spatial infinity in general relativity. I - Universal structure, asymptotic symmetries, and conserved quantities at spatial infinity , J. Math. Phys. 19
1978
Earlier work this paper cites.
A. Ashtekar, Asymptotic Quantization of the Gravitational Field , Phys. Rev. Lett. 46
1981
Earlier work this paper cites.
T. Damour, Analytical calculations of gravitational radiation. , in Fourth Marcel Grossmann Meeting on General Relativity , pp. 365–392, 1986
1986
Earlier work this paper cites.
L. Blanchet, Radiative gravitational fields in general relativity ii. asymptotic behaviour at future null infinity , Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 409
1987
Earlier work this paper cites.
Academic press, 1989
I. Frenkel, J. Lepowsky and A. Meurman, Vertex operator algebras and the Monster · 1989
Earlier work this paper cites.

Similar

Aug., 1995
J. Bertrand, P. Bertrand and J.-P. Ovarlez, The Mellin Transform , in The Transforms and Applications Handbook · 1995
Cited alongside, same era.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory , Phys. Rev. A 52
1995
Cited alongside, same era.
Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997, 10.1007/978-1-4612-2256-9
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory · 1997
Cited alongside, same era.
D. Christodoulou, The global initial value problem in general relativity , in The Ninth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (In 3 Volumes) , pp. 44–54, World Scientific, 2002
2002
Cited alongside, same era.
L. Donnay, S. Pasterski and A. Puhm, Asymptotic Symmetries and Celestial CFT , JHEP 09
Original
2005

Then

S. Pasterski and S.-H. Shao, Conformal basis for flat space amplitudes , Phys. Rev. D 96
Original
2017
Later among the works it cites.
C. P. Burgess, J. Hainge, G. Kaplanek and M. Rummel, Failure of Perturbation Theory Near Horizons: the Rindler Example , JHEP 10
Original
2018
Later among the works it cites.
A. Ashtekar, M. Campiglia and A. Laddha, Null infinity, the BMS group and infrared issues , Gen. Rel. Grav. 50
Original
2018
Later among the works it cites.
A. Laddha and A. Sen, Logarithmic Terms in the Soft Expansion in Four Dimensions , JHEP 10
Original
2018
Later among the works it cites.
S. Stieberger and T. R. Taylor, Symmetries of Celestial Amplitudes , Phys. Lett. B 793

Beyond the bibliography

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

Open on alphaXiv

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Cited alongside, same era.

E. Himwich, S. A. Narayanan, M. Pate, N. Paul and A. Strominger, The Soft 𝒮 \mathcal{S} -Matrix in Gravity , JHEP 09

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2019