Built on

H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, “Gravitational waves in general relativity. VII. Waves from axisymmetric isolated systems,” Proc. Roy. Soc. Lond. A 269
1962
Earlier work this paper cites.
R. Sachs, “Asymptotic symmetries in gravitational theory,” Phys. Rev. 128
1962
Earlier work this paper cites.
S. Weinberg, “Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
L. F. Abbott and S. Deser, “Charge Definition in Nonabelian Gauge Theories,” Phys. Lett. 116B
1982
Earlier work this paper cites.
D. J. Gross, “High-Energy Symmetries of String Theory,” Phys. Rev. Lett. 60
1988
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. D 61
2000
Earlier work this paper cites.
G. Barnich and F. Brandt, “Covariant theory of asymptotic symmetries, conservation laws and central charges,” Nucl. Phys. B 633
2002
Earlier work this paper cites.
S. Hollands and R. M. Wald, “Conformal null infinity does not exist for radiating solutions in odd spacetime dimensions,” Class. Quant. Grav. 21
2004
Earlier work this paper cites.
S. Hollands, A. Ishibashi, “Asymptotic flatness and Bondi energy in higher dimensional gravity,” J. Math. Phys. 46
2005
Earlier work this paper cites.
N. Moeller and P. C. West, “Arbitrary four string scattering at high energy and fixed angle,” Nucl. Phys. B 729
2005
Earlier work this paper cites.
M. G. Eastwood, “Higher symmetries of the Laplacian,” Annals Math. 161
2005
Earlier work this paper cites.
G. Barnich, N. Bouatta and M. Grigoriev, “Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces,” JHEP 0510
2005
Earlier work this paper cites.
G. Barnich and G. Compere, “Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions,” Class. Quant. Grav. 24
2007
Earlier work this paper cites.
D. Francia, “Geometric Lagrangians for massive higher-spin fields,” Nucl. Phys. B 796
Original
2008
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.
A. Campoleoni, S. Fredenhagen, S. Pfenninger and S. Theisen, “Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields,” JHEP 1011
Original
2010
Earlier work this paper cites.
M. Henneaux and S. -J. Rey, “Nonlinear W ∞ W_{\infty} as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity,” JHEP 1012
Original
2010
Earlier work this paper cites.
K. Tanabe, S. Kinoshita and T. Shiromizu, “Asymptotic flatness at null infinity in arbitrary dimensions,” Phys. Rev. D 84
Original
2011
Earlier work this paper cites.

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Then

G. Barnich, P. H. Lambert and P. Mao, “Three-dimensional asymptotically flat Einstein-Maxwell theory,” Class. Quant. Grav. 32
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T. Adamo and E. Casali, “Perturbative gauge theory at null infinity,” Phys. Rev. D 91
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Later among the works it cites.
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Later among the works it cites.
S. Hollands, A. Thorne, “Bondi mass cannot become negative in higher dimensions,” Commun. Math. Phys. 333
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A. Campoleoni and M. Henneaux, “Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach,” JHEP 1503

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2017

Asymptotic Charges at Null Infinity in Any Dimension

Campoleoni, Andrea, Francia, Dario, Heissenberg, Carlo

Understand

We analyse the conservation laws associated with large gauge transformations of massless fields in Minkowski space.

Our aim is to highlight the interplay between boundary conditions and finiteness of the asymptotically conserved charges in any space-time dimension, both even and odd, greater than or equal to three.
After discussing non-linear Yang-Mills theory and revisiting linearised gravity, our investigation extends to cover the infrared behaviour of bosonic massless quanta of any spin.

Built on

H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, “Gravitational waves in general relativity. VII. Waves from axisymmetric isolated systems,” Proc. Roy. Soc. Lond. A 269
1962
Earlier work this paper cites.
R. Sachs, “Asymptotic symmetries in gravitational theory,” Phys. Rev. 128
1962
Earlier work this paper cites.
S. Weinberg, “Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
L. F. Abbott and S. Deser, “Charge Definition in Nonabelian Gauge Theories,” Phys. Lett. 116B
1982
Earlier work this paper cites.
D. J. Gross, “High-Energy Symmetries of String Theory,” Phys. Rev. Lett. 60
1988
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. D 61
2000
Earlier work this paper cites.
G. Barnich and F. Brandt, “Covariant theory of asymptotic symmetries, conservation laws and central charges,” Nucl. Phys. B 633
2002
Earlier work this paper cites.
S. Hollands and R. M. Wald, “Conformal null infinity does not exist for radiating solutions in odd spacetime dimensions,” Class. Quant. Grav. 21
2004
Earlier work this paper cites.
S. Hollands, A. Ishibashi, “Asymptotic flatness and Bondi energy in higher dimensional gravity,” J. Math. Phys. 46
2005
Earlier work this paper cites.
N. Moeller and P. C. West, “Arbitrary four string scattering at high energy and fixed angle,” Nucl. Phys. B 729
2005
Earlier work this paper cites.
M. G. Eastwood, “Higher symmetries of the Laplacian,” Annals Math. 161
2005
Earlier work this paper cites.
G. Barnich, N. Bouatta and M. Grigoriev, “Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces,” JHEP 0510
2005
Earlier work this paper cites.
G. Barnich and G. Compere, “Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions,” Class. Quant. Grav. 24
2007
Earlier work this paper cites.
D. Francia, “Geometric Lagrangians for massive higher-spin fields,” Nucl. Phys. B 796
Original
2008
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.
A. Campoleoni, S. Fredenhagen, S. Pfenninger and S. Theisen, “Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields,” JHEP 1011
Original
2010
Earlier work this paper cites.
M. Henneaux and S. -J. Rey, “Nonlinear W ∞ W_{\infty} as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity,” JHEP 1012
Original
2010
Earlier work this paper cites.
K. Tanabe, S. Kinoshita and T. Shiromizu, “Asymptotic flatness at null infinity in arbitrary dimensions,” Phys. Rev. D 84
Original
2011
Earlier work this paper cites.