Fetching the paper…

Reading the bibliography…

2022

Loop-corrected subleading soft theorem and the celestial stress-tensor

Donnay, Laura, Nguyen, Kevin, Ruzziconi, Romain

Original
PDF
Post on X

Understand

We demonstrate that the one-loop exact subleading soft graviton theorem automatically follows from conservation of the BMS charges, provided that the hard and soft fluxes separately represent the extended BMS algebra at null infinity.

This confirms that superrotations are genuine symmetries of the gravitational $\mathcal{S}$-matrix beyond the semiclassical regime.
In contrast with a previous proposal, the celestial stress-tensor accounting for the one-loop corrections follows from the gravitational phase space analysis and does not require the addition of divergent counterterms.
In addition, we show that the symplectic form on the radiative phase space factorises into hard and soft sectors, and that the resulting canonical generators precisely coincide with the correct BMS fluxes.

Loop-corrected subleading soft theorem and the celestial stress-tensor · Around

Built on

G. Compere and D. Marolf, “Setting the boundary free in AdS/CFT,” Class. Quant. Grav
Original
1902
Earlier work this paper cites.
K. Prabhu, “Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity,” JHEP
Original
1902
Earlier work this paper cites.
M. Campiglia and A. Laddha, “Loop Corrected Soft Photon Theorem as a Ward Identity,” JHEP
Original
1903
Earlier work this paper cites.
F. Alessio and M. Arzano, “Note on the symplectic structure of asymptotically flat gravity and BMS symmetries,” Phys. Rev. D
Original
1906
Earlier work this paper cites.
D. Harlow and J.-Q. Wu, “Covariant phase space with boundaries,” JHEP
Original
1906
Earlier work this paper cites.
U. Kol and M. Porrati, “Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes,” Phys. Rev. D
Original
1907
Earlier work this paper cites.
R. Ruzziconi, “Asymptotic Symmetries in the Gauge Fixing Approach and the BMS Group,” PoS
Original
1910
Earlier work this paper cites.
G. Barnich, P. Mao, and R. Ruzziconi, “BMS current algebra in the context of the Newman–Penrose formalism,” Class. Quant. Grav
Original
1910
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
R. K. Sachs, “Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times,” Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
R. Sachs, “Asymptotic symmetries in gravitational theory,” Phys. Rev
1962
Earlier work this paper cites.
E. Newman and R. Penrose, “An Approach to gravitational radiation by a method of spin coefficients,” J. Math. Phys
1962
Earlier work this paper cites.
E. T. Newman and T. W. J. Unti, “Behavior of Asymptotically Flat Empty Spaces,” J. Math. Phys
1962
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
Springer US, Boston, MA, 1977
R. Geroch, Asymptotic Structure of Space-Time · 1977
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
1978
Earlier work this paper cites.
A. Ashtekar and M. Streubel, “Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity,” Proc. Roy. Soc. Lond
1981
Earlier work this paper cites.
A. Ashtekar, “Asymptotic Quantization of the Gravitational Field,” Phys. Rev. Lett
1981
Earlier work this paper cites.
L. Blanchet and T. Damour, “Tail Transported Temporal Correlations in the Dynamics of a Gravitating System,” Phys. Rev. D
1988
Earlier work this paper cites.
J. Lee and R. M. Wald, “Local symmetries and constraints,” J. Math. Phys
1990
Earlier work this paper cites.
M. Herberthson and M. Ludvigsen, “A relationship between future and past null infinity,” Gen. Rel. Grav
1992
Earlier work this paper cites.
L. Blanchet and G. Schaefer, “Gravitational wave tails and binary star systems,” Class. Quant. Grav
1993
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D
1993
Earlier work this paper cites.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D
1994
Earlier work this paper cites.
R. M. Wald and A. Zoupas, “A General definition of ‘conserved quantities’ in general relativity and other theories of gravity,” Phys. Rev
2000
Earlier work this paper cites.
M. Campiglia and J. Peraza, “Generalized BMS charge algebra,” Phys. Rev. D
Original
2002
Earlier work this paper cites.

Similar

G. Barnich and F. Brandt, “Covariant theory of asymptotic symmetries, conservation laws and central charges,” Nucl. Phys
2002
Cited alongside, same era.
J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys
2003
Cited alongside, same era.
G. Compère, A. Fiorucci, and R. Ruzziconi, “The Λ \Lambda -BMS 4 charge algebra,” JHEP
Original
2004
Cited alongside, same era.
I. Papadimitriou and K. Skenderis, “Thermodynamics of asymptotically locally AdS spacetimes,” JHEP
2005
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
Original
2005
Cited alongside, same era.

Then

T. He, V. Lysov, P. Mitra, and A. Strominger, “BMS supertranslations and Weinberg’s soft graviton theorem,” JHEP
Original
2015
Later among the works it cites.
M. Campiglia and A. Laddha, “Asymptotic symmetries of gravity and soft theorems for massive particles,” JHEP
Original
2015
Later among the works it cites.
M. Campiglia, “Null to time-like infinity Green’s functions for asymptotic symmetries in Minkowski spacetime,” JHEP
Original
2015
Later among the works it cites.
G. Compère and J. Long, “Vacua of the gravitational field,” JHEP
Original
2016
Later among the works it cites.
A. Strominger and A. Zhiboedov, “Gravitational Memory, BMS Supertranslations and Soft Theorems,” JHEP

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

L. Freidel, M. Geiller, and D. Pranzetti, “Edge modes of gravity. Part I. Corner potentials and charges,” JHEP

Original

2006

Cited alongside, same era.

H. Godazgar, M. Godazgar, and M. J. Perry, “Asymptotic gravitational charges,” Phys. Rev. Lett

2007

Cited alongside, same era.

H. Godazgar, M. Godazgar, and M. J. Perry, “Hamiltonian derivation of dual gravitational charges,” JHEP

Original

2007

Cited alongside, same era.

PhD thesis, U. Brussels, 2020

R. Ruzziconi, On the Various Extensions of the BMS Group · 2009

Cited alongside, same era.

G. Barnich and C. Troessaert, “Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited,” Phys. Rev. Lett

2010

Cited alongside, same era.

G. Barnich and C. Troessaert, “Aspects of the BMS/CFT correspondence,” JHEP

2010

Cited alongside, same era.

R. Oliveri and S. Speziale, “A note on dual gravitational charges,” JHEP

2010

Cited alongside, same era.

2016

Later among the works it cites.

S. Pasterski, S.-H. Shao, and A. Strominger, “Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere,” Phys. Rev

2017

Later among the works it cites.

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

2017

Later among the works it cites.

T. He, D. Kapec, A.-M. Raclariu, and A. Strominger, “Loop-Corrected Virasoro Symmetry of 4D Quantum Gravity,” JHEP

2017

Later among the works it cites.

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

2017

Later among the works it cites.

S. Pasterski, S.-H. Shao, and A. Strominger, “Gluon Amplitudes as 2d Conformal Correlators,” Phys. Rev

2017

Later among the works it cites.

Princeton University Press, 2018

A. Strominger, Lectures on the Infrared Structure of Gravity and Gauge Theory · 2018

Later among the works it cites.

G. Compère, A. Fiorucci, and R. Ruzziconi, “Superboost transitions, refraction memory and super-Lorentz charge algebra,” JHEP

2018

Later among the works it cites.

C. Troessaert, “The BMS4 algebra at spatial infinity,” Class. Quant. Grav

2018

Later among the works it cites.

M. Henneaux and C. Troessaert, “BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach,” JHEP

2018

Later among the works it cites.

M. Henneaux and C. Troessaert, “Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity,” JHEP

2018

Later among the works it cites.

B. Sahoo and A. Sen, “Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions,” JHEP

2019

Later among the works it cites.

A. Laddha and A. Sen, “Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem,” Phys. Rev. D

2019

Later among the works it cites.

H. Godazgar, M. Godazgar, and C. N. Pope, “New dual gravitational charges,” Phys. Rev. D

2019

Later among the works it cites.

S. Pasterski, “Lectures on celestial amplitudes,” Eur. Phys. J. C

2021

Later among the works it cites.

L. Donnay and R. Ruzziconi, “BMS flux algebra in celestial holography,” JHEP

2021

Later among the works it cites.

PhD thesis, Brussels U., Intl. Solvay Inst., Brussels, 2021

A. Fiorucci, Leaky covariant phase spaces: Theory and application to Λ \Lambda -BMS symmetry · 2021

Later among the works it cites.

G. Barnich and R. Ruzziconi, “Coadjoint representation of the BMS group on celestial Riemann surfaces,” JHEP

2021

Later among the works it cites.

L. Freidel, R. Oliveri, D. Pranzetti, and S. Speziale, “The Weyl BMS group and Einstein’s equations,” JHEP

2021

Later among the works it cites.

K. Nguyen and J. Salzer, “Celestial IR divergences and the effective action of supertranslation modes,” JHEP

2021

Later among the works it cites.

L. Freidel and D. Pranzetti, “Gravity from symmetry: duality and impulsive waves,” JHEP

2022

Closest in time.