Built on

S. Banerjee, P. Pandey and P. Paul, “Conformal properties of soft-operators - 1 : Use of null-states,” arXiv:1902.02309 [hep-th]
Original
1902
Earlier work this paper cites.
W. Fan, A. Fotopoulos and T. R. Taylor, “Soft Limits of Yang-Mills Amplitudes and Conformal amplitudes,” arXiv:1903.01676 [hep-th]
Original
1903
Earlier work this paper cites.
M. Campiglia and A. Laddha, “Loop Corrected Soft Photon Theorem as a Ward Identity,” arXiv:1903.09133 [hep-th]
Original
1903
Earlier work this paper cites.
D. J. Gross, J. A. Harvey, E. J. Martinec and R. Rohm, “Heterotic String Theory. 2. The Interacting Heterotic String,” Nucl. Phys. B 267
Original
1904
Earlier work this paper cites.
G. Veneziano, “Construction of a crossing - symmetric, Regge behaved amplitude for linearly rising trajectories,” Nuovo Cim. A 57
1968
Earlier work this paper cites.
M. B. Green and J. H. Schwarz, “Supersymmetrical Dual String Theory. 2. Vertices and Trees,” Nucl. Phys. B 198
1982
Earlier work this paper cites.
J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys. B 665
2003
Earlier work this paper cites.
G. Barnich and C. Troessaert, “Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited,” Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
G. Barnich and C. Troessaert, “Aspects of the BMS/CFT correspondence,” JHEP 1005
Original
2010
Earlier work this paper cites.
G. Barnich and C. Troessaert, “Supertranslations call for superrotations,” PoS CNCFG 2010
Original
2011
Earlier work this paper cites.

Similar

D. Kapec, V. Lysov, S. Pasterski and A. Strominger, “Semiclassical Virasoro symmetry of the quantum gravity 𝒮 \mathcal{S} -matrix,” JHEP 1408
Original
2014
Cited alongside, same era.
A. Strominger, “On BMS Invariance of Gravitational Scattering,” JHEP 1407
Original
2014
Cited alongside, same era.
T. He, P. Mitra and A. Strominger, “2D Kac-Moody Symmetry of 4D Yang-Mills Theory,” JHEP 1610
Original
2016
Cited alongside, same era.
C. Cheung, A. de la Fuente and R. Sundrum, “4D scattering amplitudes and asymptotic symmetries from 2D CFT,” JHEP 1701
Original
2017
Cited alongside, same era.
S. Pasterski, S. H. Shao and A. Strominger, “Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere,” Phys. Rev. D 96

Then

H. T. Lam and S. H. Shao, “Conformal Basis, Optical Theorem, and the Bulk Point Singularity,” Phys. Rev. D 98
Original
2018
Later among the works it cites.
N. Banerjee, S. Banerjee, S. Atul Bhatkar and S. Jain, “Conformal Structure of Massless Scalar Amplitudes Beyond Tree level,” JHEP 1804
Original
2018
Later among the works it cites.
A. Schreiber, A. Volovich and M. Zlotnikov, “Tree-level gluon amplitudes on the celestial sphere,” Phys. Lett. B 781
Original
2018
Later among the works it cites.
S. Stieberger and T. R. Taylor, “Strings on Celestial Sphere,” Nucl. Phys. B 935
Original
2018
Later among the works it cites.
D. Kapec and P. Mitra, “A d d -Dimensional Stress Tensor for Mink d+2

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2019

Conformally Soft Theorem in Gauge Theory

Pate, Monica, Raclariu, Ana-Maria, Strominger, Andrew

Understand

Asymptotic particle states in four-dimensional celestial scattering amplitudes are labelled by their $SL(2,\mathbb{C})$ Lorentz/conformal weights $(h,\bar{h})$ rather than the usual energy-momentum four-vector.

These boost eigenstates involve a superposition of all energies.
As such, celestial gluon (or photon) scattering cannot obey the usual (energetically) soft theorems.
In this paper we show that tree-level celestial gluon scattering, in theories with sufficiently soft UV behavior, instead obeys conformally soft theorems involving $h \to 0$ or $\bar{h} \to 0$.

Built on

S. Banerjee, P. Pandey and P. Paul, “Conformal properties of soft-operators - 1 : Use of null-states,” arXiv:1902.02309 [hep-th]
Original
1902
Earlier work this paper cites.
W. Fan, A. Fotopoulos and T. R. Taylor, “Soft Limits of Yang-Mills Amplitudes and Conformal amplitudes,” arXiv:1903.01676 [hep-th]
Original
1903
Earlier work this paper cites.
M. Campiglia and A. Laddha, “Loop Corrected Soft Photon Theorem as a Ward Identity,” arXiv:1903.09133 [hep-th]
Original
1903
Earlier work this paper cites.
D. J. Gross, J. A. Harvey, E. J. Martinec and R. Rohm, “Heterotic String Theory. 2. The Interacting Heterotic String,” Nucl. Phys. B 267
Original
1904
Earlier work this paper cites.
G. Veneziano, “Construction of a crossing - symmetric, Regge behaved amplitude for linearly rising trajectories,” Nuovo Cim. A 57
1968
Earlier work this paper cites.
M. B. Green and J. H. Schwarz, “Supersymmetrical Dual String Theory. 2. Vertices and Trees,” Nucl. Phys. B 198
1982
Earlier work this paper cites.
J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys. B 665
2003
Earlier work this paper cites.
G. Barnich and C. Troessaert, “Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited,” Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
G. Barnich and C. Troessaert, “Aspects of the BMS/CFT correspondence,” JHEP 1005
Original
2010
Earlier work this paper cites.
G. Barnich and C. Troessaert, “Supertranslations call for superrotations,” PoS CNCFG 2010
Original
2011
Earlier work this paper cites.

Similar

D. Kapec, V. Lysov, S. Pasterski and A. Strominger, “Semiclassical Virasoro symmetry of the quantum gravity 𝒮 \mathcal{S} -matrix,” JHEP 1408
Original
2014
Cited alongside, same era.
A. Strominger, “On BMS Invariance of Gravitational Scattering,” JHEP 1407
Original
2014
Cited alongside, same era.
T. He, P. Mitra and A. Strominger, “2D Kac-Moody Symmetry of 4D Yang-Mills Theory,” JHEP 1610
Original
2016
Cited alongside, same era.
C. Cheung, A. de la Fuente and R. Sundrum, “4D scattering amplitudes and asymptotic symmetries from 2D CFT,” JHEP 1701
Original
2017
Cited alongside, same era.
S. Pasterski, S. H. Shao and A. Strominger, “Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere,” Phys. Rev. D 96

Then

H. T. Lam and S. H. Shao, “Conformal Basis, Optical Theorem, and the Bulk Point Singularity,” Phys. Rev. D 98
Original
2018
Later among the works it cites.
N. Banerjee, S. Banerjee, S. Atul Bhatkar and S. Jain, “Conformal Structure of Massless Scalar Amplitudes Beyond Tree level,” JHEP 1804
Original
2018
Later among the works it cites.
A. Schreiber, A. Volovich and M. Zlotnikov, “Tree-level gluon amplitudes on the celestial sphere,” Phys. Lett. B 781
Original
2018
Later among the works it cites.
S. Stieberger and T. R. Taylor, “Strings on Celestial Sphere,” Nucl. Phys. B 935
Original
2018
Later among the works it cites.
D. Kapec and P. Mitra, “A d d -Dimensional Stress Tensor for Mink d+2

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2017

Cited alongside, same era.

S. Pasterski and S. H. Shao, “Conformal basis for flat space amplitudes,” Phys. Rev. D 96

Original

2017

Cited alongside, same era.

S. Pasterski, S. H. Shao and A. Strominger, “Gluon Amplitudes as 2d Conformal amplitudes,” Phys. Rev. D 96

Original

2017

Cited alongside, same era.

C. Cardona and Y. t. Huang, “S-matrix singularities and CFT correlation functions,” JHEP 1708

Original

2017

Cited alongside, same era.

D. Kapec, P. Mitra, A. M. Raclariu and A. Strominger, “2D Stress Tensor for 4D Gravity,” Phys. Rev. Lett. 119

Original

2017

Cited alongside, same era.

A. Strominger, “Lectures on the Infrared Structure of Gravity and Gauge Theory,” arXiv:1703.05448 [hep-th] , Princeton University Press; online at https://www.youtube.com/playlist?list=PLwLjkVy3evOazQ3FoRH-Sz8Eoxx2oriXL

Original

Cited in the paper.

S. Stieberger and T. R. Taylor, “Symmetries of Celestial Amplitudes,” arXiv:1812.01080 [hep-th]

Original

Cited in the paper.

N. Arkani-Hamed, T. C. Huang and Y. t. Huang, “Scattering Amplitudes For All Masses and Spins,” arXiv:1709.04891 [hep-th]

Original

Cited in the paper.

Original

2018

Later among the works it cites.

S. Banerjee, “Null Infinity and Unitary Representation of The Poincare Group,” JHEP 1901

Original

2019

Closest in time.

L. Donnay, A. Puhm and A. Strominger, “Conformally Soft Photons and Gravitons,” JHEP 1901

Original

2019

Closest in time.

L. Rodina, “Scattering Amplitudes from Soft Theorems and Infrared Behavior,” Phys. Rev. Lett. 122

Original

2019

Closest in time.

Dhritiman Nandan, Anders Schreiber, Anastasia Volovich and Michael Zlotnikov, “Celestial Amplitudes: Conformal Partial Waves and Soft Limits”, to appear (2019)

2019

Closest in time.