Built on

J. Matulich, S. Prohazka and J. Salzer, Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension , JHEP 07
Original
1903
Earlier work this paper cites.
J. Cotler, K. Jensen and A. Maloney, Low-dimensional de Sitter quantum gravity , JHEP 06
Original
1905
Earlier work this paper cites.
J. Figueroa-O’Farrill, R. Grassie and S. Prohazka, Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes , JHEP 08
Original
1905
Earlier work this paper cites.
A. Puhm, Conformally Soft Theorem in Gravity , JHEP 09
Original
1905
Earlier work this paper cites.
L. Ciambelli and R.G. Leigh, Weyl Connections and their Role in Holography , Phys. Rev. D 101
Original
1905
Earlier work this paper cites.
E. Adjei, W. Donnelly, V. Py and A.J. Speranza, Cosmic footballs from superrotations , Class. Quant. Grav. 37
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. 37
Original
1910
Earlier work this paper cites.
W. Merbis and M. Riegler, Geometric actions and flat space holography , JHEP 02
Original
1912
Earlier work this paper cites.
M. Henneaux, W. Merbis and A. Ranjbar, Asymptotic dynamics of AdS 3 gravity with two asymptotic regions , JHEP 03
Original
1912
Earlier work this paper cites.
H. Weyl, Gravitation and electricity , Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys. ) 1918
1918
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. A269
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. A270
1962
Earlier work this paper cites.
E.T. Newman and T.W.J. Unti, Behavior of Asymptotically Flat Empty Spaces , J. Math. Phys. 3
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. 3
1962
Earlier work this paper cites.
R. Penrose, Zero rest mass fields including gravitation: Asymptotic behavior , Proc. Roy. Soc. Lond. A284
1965
Earlier work this paper cites.
H. Bacry and J. Levy-Leblond, Possible kinematics , J. Math. Phys. 9
1968
Earlier work this paper cites.
R. Geroch, Asymptotic structure of space-time , in Asymptotic Structure of Space-Time , F.P. Esposito and L. Witten, eds., (Boston, MA), pp. 1–105, Springer US (1977), DOI
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. 19
1978
Earlier work this paper cites.
A. Ashtekar, Radiative Degrees of Freedom of the Gravitational Field in Exact General Relativity , J. Math. Phys. 22
1981
Earlier work this paper cites.
C.N. Kozameh and E.T. Newman, A note on asymptotically flat spaces. ii , General Relativity and Gravitation 15
1983
Earlier work this paper cites.
R.M. Wald, General relativity , University of Chicago press (1984)
1984
Earlier work this paper cites.
A. Achucarro and P. Townsend, A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories , Phys.Lett. B180
1986
Earlier work this paper cites.
A.M. Polyakov, Quantum Gravity in Two-Dimensions , Mod. Phys. Lett. A 2
1987
Earlier work this paper cites.
E. Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System , Nucl. Phys. B311
1988
Earlier work this paper cites.

Similar

A. Alekseev and S.L. Shatashvili, Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity , Nucl. Phys. B323
1989
Cited alongside, same era.
S. Elitzur, G.W. Moore, A. Schwimmer and N. Seiberg, Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory , Nucl. Phys. B326
1989
Cited alongside, same era.
H.L. Verlinde, Conformal Field Theory, 2- D D Quantum Gravity and Quantization of Teichmuller Space , Nucl. Phys. B 337
1990
Cited alongside, same era.
E. Witten, Quantization of Chern-Simons Gauge Theory With Complex Gauge Group , Commun. Math. Phys. 137
1991
Cited alongside, same era.
O. Coussaert, M. Henneaux and P. van Driel, The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant , Class.Quant.Grav. 12
1995
Cited alongside, same era.

Then

M. Campiglia and A. Laddha, New symmetries for the Gravitational S-matrix , JHEP 04
Original
2015
Later among the works it cites.
A. Ashtekar, B. Bonga and A. Kesavan, Asymptotics with a positive cosmological constant: I. Basic framework , Class. Quant. Grav. 32
Original
2015
Later among the works it cites.
J. Hartong, Gauging the Carroll Algebra and Ultra-Relativistic Gravity , JHEP 08
Original
2015
Later among the works it cites.
A. Strominger and A. Zhiboedov, Gravitational Memory, BMS Supertranslations and Soft Theorems , JHEP 01
Original
2016
Later among the works it cites.
S. Pasterski, A. Strominger and A. Zhiboedov, New Gravitational Memories , JHEP 12
Original

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2020

The Effective Action of Superrotation Modes

Nguyen, Kévin, Salzer, Jakob

Understand

Starting from an analysis of four-dimensional asymptotically flat gravity in first order formulation, we show that superrotation reparametrization modes are governed by an Alekseev--Shatashvili action on the celestial sphere.

This two-dimensional conformal theory describes spontaneous symmetry breaking of Virasoro superrotations together with the explicit symmetry breaking of more general Diff$(\mathcal{S}^2)$ superrotations.
We arrive at this result by first reformulating the asymptotic field equations and symmetries of the radiative vacuum sector in terms of a Chern--Simons theory at null infinity, and subsequently performing a Hamiltonian reduction of this theory onto the celestial sphere.

Built on

J. Matulich, S. Prohazka and J. Salzer, Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension , JHEP 07
Original
1903
Earlier work this paper cites.
J. Cotler, K. Jensen and A. Maloney, Low-dimensional de Sitter quantum gravity , JHEP 06
Original
1905
Earlier work this paper cites.
J. Figueroa-O’Farrill, R. Grassie and S. Prohazka, Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes , JHEP 08
Original
1905
Earlier work this paper cites.
A. Puhm, Conformally Soft Theorem in Gravity , JHEP 09
Original
1905
Earlier work this paper cites.
L. Ciambelli and R.G. Leigh, Weyl Connections and their Role in Holography , Phys. Rev. D 101
Original
1905
Earlier work this paper cites.
E. Adjei, W. Donnelly, V. Py and A.J. Speranza, Cosmic footballs from superrotations , Class. Quant. Grav. 37
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. 37
Original
1910
Earlier work this paper cites.
W. Merbis and M. Riegler, Geometric actions and flat space holography , JHEP 02
Original
1912
Earlier work this paper cites.
M. Henneaux, W. Merbis and A. Ranjbar, Asymptotic dynamics of AdS 3 gravity with two asymptotic regions , JHEP 03
Original
1912
Earlier work this paper cites.
H. Weyl, Gravitation and electricity , Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys. ) 1918
1918
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. A269
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. A270
1962
Earlier work this paper cites.
E.T. Newman and T.W.J. Unti, Behavior of Asymptotically Flat Empty Spaces , J. Math. Phys. 3
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. 3
1962
Earlier work this paper cites.
R. Penrose, Zero rest mass fields including gravitation: Asymptotic behavior , Proc. Roy. Soc. Lond. A284
1965
Earlier work this paper cites.
H. Bacry and J. Levy-Leblond, Possible kinematics , J. Math. Phys. 9
1968
Earlier work this paper cites.
R. Geroch, Asymptotic structure of space-time , in Asymptotic Structure of Space-Time , F.P. Esposito and L. Witten, eds., (Boston, MA), pp. 1–105, Springer US (1977), DOI
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. 19
1978
Earlier work this paper cites.
A. Ashtekar, Radiative Degrees of Freedom of the Gravitational Field in Exact General Relativity , J. Math. Phys. 22
1981
Earlier work this paper cites.
C.N. Kozameh and E.T. Newman, A note on asymptotically flat spaces. ii , General Relativity and Gravitation 15
1983
Earlier work this paper cites.
R.M. Wald, General relativity , University of Chicago press (1984)
1984
Earlier work this paper cites.
A. Achucarro and P. Townsend, A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories , Phys.Lett. B180
1986
Earlier work this paper cites.
A.M. Polyakov, Quantum Gravity in Two-Dimensions , Mod. Phys. Lett. A 2
1987
Earlier work this paper cites.
E. Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System , Nucl. Phys. B311
1988
Earlier work this paper cites.

Similar

A. Alekseev and S.L. Shatashvili, Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity , Nucl. Phys. B323
1989
Cited alongside, same era.
S. Elitzur, G.W. Moore, A. Schwimmer and N. Seiberg, Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory , Nucl. Phys. B326
1989
Cited alongside, same era.
H.L. Verlinde, Conformal Field Theory, 2- D D Quantum Gravity and Quantization of Teichmuller Space , Nucl. Phys. B 337
1990
Cited alongside, same era.
E. Witten, Quantization of Chern-Simons Gauge Theory With Complex Gauge Group , Commun. Math. Phys. 137
1991
Cited alongside, same era.
O. Coussaert, M. Henneaux and P. van Driel, The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant , Class.Quant.Grav. 12
1995
Cited alongside, same era.