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2019

Asymptotic conformal symmetry at spatial infinity

Bakhoda, Sepideh, Mahdieh, Fatemeh, Shojaie, Hossein

Understand

In this paper, the effects of adding spatial conformal symmetry to the asymptotic symmetry group of an asymptotically conformally flat spacetime are studied.

It is shown that, in addition to the BMS group, only the dilations of the spatial conformal generators keep the corresponding boundary conditions conformally invariant under hypersurface deformations.
We prove that in order to attain (i) a well-defined symplectic structure and (ii) a finite and (iii) integrable conserved charge, these conditions are satisfied simultaneously when admitting Regge-Teitelboim and twisted Henneaux-Troessaert parity conditions, where the latter also contain supertranslation invariance.
The conserved dilation charge contains nonzero terms independent of the field variables, giving a nonvanishing effect on the boundary.

Built on

S. Haco, M. J. Perry, and A. Strominger, (2019), arXiv:1902.02247 [hep-th]
Original
1902
Earlier work this paper cites.
M. Henneaux and C. Troessaert, (2019), arXiv:1904.04495 [hep-th]
Original
1904
Earlier work this paper cites.
M. Pate, A.-M. Raclariu, and A. Strominger, (2019), arXiv:1904.10831 [hep-th]
Original
1904
Earlier work this paper cites.
A. Ball, E. Himwich, S. A. Narayanan, S. Pasterski, and A. Strominger, JHEP 08
Original
1905
Earlier work this paper cites.
A. Lichnerowicz, J.Math.Pure.Appl. 23
1944
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, Proc. Roy. Soc. Lond. A269
1962
Earlier work this paper cites.
E. T. Newman and T. W. J. Unti, J. Math. Phys. 3
1962
Earlier work this paper cites.
R. Penrose, Phys. Rev. Lett. 10
1963
Earlier work this paper cites.
R. Penrose, Proc. Roy. Soc. Lond. A284
1965
Earlier work this paper cites.
J. W. York, Jr., Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
T. Regge and C. Teitelboim, Annals Phys. 88
1974
Earlier work this paper cites.
R. Beig and B. G. Schmidt, Communications in Mathematical Physics 87
1982
Earlier work this paper cites.
R. Beig and R. Penrose, Proc.Roy.Soc.Lond. 391
1984
Earlier work this paper cites.
R. Beig and N. oMurchadha, Annals Phys. 174
1987
Earlier work this paper cites.
Y. Choquet-Bruhat and C. DeWitt-Morette, Analysis, Manifolds and Physics, Part I (North-Holland, Amesterdam, 1989)
1989
Earlier work this paper cites.
Y. Choquet-Bruhat and C. DeWitt-Morette, Analysis, Manifolds and Physics, Part II (North-Holland, Amesterdam, 1989)
1989
Earlier work this paper cites.
A. Ashtekar, J. Bicak, and B. G. Schmidt, Phys. Rev. D55
1997
Earlier work this paper cites.
R. M. Wald and A. Zoupas, Phys. Rev. D61
2000
Earlier work this paper cites.
G. Barnich and F. Brandt, Nucl. Phys. B633
2002
Earlier work this paper cites.
T. Banks, (2003), arXiv:hep-th/0306074 [hep-th]
2003
Earlier work this paper cites.