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2022

Supertranslation-Invariant Dressed Lorentz Charges

Javadinezhad, Reza, Kol, Uri, Porrati, Massimo

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We present an explicit formula for Lorentz boosts and rotations that commute with BMS supertranslations in asymptotically flat spacetimes.

Key to the construction is the use of infrared regularizations and of a unitary transformation that makes observables commute with the soft degrees of freedom.
We explicitly verify that our charges satisfy the Lorentz algebra and we check that they are consistent with expectations by evaluating them on the supertranslated Minkowski space and on the boosted Kerr black hole.

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Built on

G. Compère, R. Oliveri and A. Seraj, “The Poincaré and BMS flux-balance laws with application to binary systems,” JHEP 10
Original
1912
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. A 269
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. A 270
1962
Earlier work this paper cites.
M. Porrati, “Charges in the Extended BMS Algebra: Definitions and Applications,” doi:10.21468/SciPostPhysProc.4.005 [arXiv:2010.12151 [hep-th]]
Original
2010
Earlier work this paper cites.
G. Barnich and C. Troessaert, “Supertranslations call for superrotations,” PoS, 010 (2010) [Ann. U. Craiova Phys. 21
Original
2011
Earlier work this paper cites.

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Then

R. Bousso and M. Porrati, “Soft Hair as a Soft Wig,” Class. Quant. Grav. 34
Original
2017
Later among the works it cites.
R. Bousso and M. Porrati, “Observable Supertranslations,” Phys. Rev. D 96
Original
2017
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É. É. Flanagan and D. A. Nichols, “Conserved charges of the extended Bondi-Metzner-Sachs algebra,” Phys. Rev. D 95
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2017
Later among the works it cites.
R. Javadinezhad, U. Kol, and M. Porrati. “Comments on Lorentz transformations, dressed asymptotic states and Hawking radiation.” Journal of High Energy Physics 2019.1 (2019): 1-25
2019
Later among the works it cites.
J. Keller, Y. K. Wang and S. T. Yau, “Evaluating quasi-local angular momentum and center-of-mass at null infinity,” Adv. Theor. Math. Phys. 24

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Original

2016

Cited alongside, same era.

P. N. Chen, M. T. Wang, Y. K. Wang and S. T. Yau, “Supertranslation invariance of angular momentum,” [arXiv:2102.03235 [gr-qc]]

Cited in the paper.

P. N. Chen, M. T. Wang, Y. K. Wang and S. T. Yau, “BMS charges without supertranslation ambiguity,” [arXiv:2107.05316 [gr-qc]]

Original

Cited in the paper.

A. Strominger, “Lectures on the Infrared Structure of Gravity and Gauge Theory,” [arXiv:1703.05448 [hep-th]]

Cited in the paper.

2020

Later among the works it cites.