Built on

V. Bargmann, "Irreducible Unitary Representations of the Lorentz Group", Annals of Mathematics, Second Series, Vol. 48, No. 3 (Jul., 1947), pp. 568-640
1947
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.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
R. Penrose, “Twistor algebra,” J. Math. Phys. 8
1967
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
1987
Earlier work this paper cites.
J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys. B 665
2003
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
2013
Earlier work this paper cites.
A. Strominger, “On BMS Invariance of Gravitational Scattering,” JHEP 1407
Original
2014
Earlier work this paper cites.
A. Strominger, “Asymptotic Symmetries of Yang-Mills Theory,” JHEP 1407
Original
2014
Earlier work this paper cites.
D. Kapec, V. Lysov, S. Pasterski and A. Strominger, “Semiclassical Virasoro symmetry of the quantum gravity 𝒮 \mathcal{S} -matrix,” JHEP 1408
Original
2014
Earlier work this paper cites.
M. Campiglia and A. Laddha, “Asymptotic symmetries and subleading soft graviton theorem,” Phys. Rev. D 90
Original
2014
Earlier work this paper cites.
B. U. W. Schwab and A. Volovich, “Subleading Soft Theorem in Arbitrary Dimensions from Scattering Equations,” Phys. Rev. Lett. 113
Original
2014
Earlier work this paper cites.

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2018

Null Infinity and Unitary Representation of The Poincare Group

Banerjee, Shamik

Understand

Following Pasterski-Shao-Strominger we construct a new basis of states in the single-particle Hilbert space of massless particles as a linear combination of standard Wigner states.

Under Lorentz transformation the new basis states transform in the Unitary Principal Continuous Series representation.
These states are obtained if we consider the little group of a null momentum \textit{direction} rather than a null momentum.
The definition of the states in terms of the Wigner states makes it easier to study the action of space-time translation in this basis.

Built on

V. Bargmann, "Irreducible Unitary Representations of the Lorentz Group", Annals of Mathematics, Second Series, Vol. 48, No. 3 (Jul., 1947), pp. 568-640
1947
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.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
R. Penrose, “Twistor algebra,” J. Math. Phys. 8
1967
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
1987
Earlier work this paper cites.
J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys. B 665
2003
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
2013
Earlier work this paper cites.
A. Strominger, “On BMS Invariance of Gravitational Scattering,” JHEP 1407
Original
2014
Earlier work this paper cites.
A. Strominger, “Asymptotic Symmetries of Yang-Mills Theory,” JHEP 1407
Original
2014
Earlier work this paper cites.
D. Kapec, V. Lysov, S. Pasterski and A. Strominger, “Semiclassical Virasoro symmetry of the quantum gravity 𝒮 \mathcal{S} -matrix,” JHEP 1408
Original
2014
Earlier work this paper cites.
M. Campiglia and A. Laddha, “Asymptotic symmetries and subleading soft graviton theorem,” Phys. Rev. D 90
Original
2014
Earlier work this paper cites.
B. U. W. Schwab and A. Volovich, “Subleading Soft Theorem in Arbitrary Dimensions from Scattering Equations,” Phys. Rev. Lett. 113
Original
2014
Earlier work this paper cites.