Representations of the Bondi—Metzner—Sachs group in three space—time dimensions

@inproceedings{Melas2017RepresentationsOT,
  title={Representations of the Bondi—Metzner—Sachs group in three space—time dimensions},
  author={Evangelos Melas},
  year={2017}
}
  • E. Melas
  • Published 1 August 2021
  • Mathematics
The original Bondi−Metzner−Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian 4−dim space−times. As such, B is the best candidate for the universal symmetry group of General Relativity (G.R.). In 1973, with this motivation, P. J. McCarthy classified all relativistic B−invariant systems in terms of strongly continuous irreducible unitary representations (IRS) of B. Here, we introduce the analogue B(2, 1) of Bondi−Metzner−Sachs group in 3 space−time… 
1 Citations
On the representation theory of the Bondi–Metzner–Sachs group and its variants in three space–time dimensions
The original Bondi–Metzner–Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian radiating 4-dim space–times. As such, B is the best candidate for the

References

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The original Bondi–Metzner–Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian radiating 4-dim space–times. As such, B is the best candidate for the
On irreducible representations of the ultrahyperbolic BMS group
Lifting of projective representations of the Bondi—Metzner—Sachs group
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  • Mathematics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1978
Following some motivating remarks on the role of group theory in physics, it is explained how a systematic study of the asymptotic symmetry group of general relativity, the Bondi-Metzner-Sachs group,
Representations of the Bondi—Metzner—Sachs group I. Determination of the representations
  • P. McCarthy
  • Mathematics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1972
Following a historical introduction, it is suggested that irreducible unitary representations of the Bondi-Metzner-Sachs group may be used to classify elementary particles in a quantum theory which
The Bondi—Metzner—Sachs group in the nuclear topology
  • P. McCarthy
  • Mathematics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1975
The Bondi-Metzner-Sachs group is topologized as a nuclear Lie group, and it is shown th at irreducible representations arise from either (i) transitive SL{2,C) actions on supermomentum space, or (ii)
Construction of the irreducibles of B(2, 2)
The ordinary Bondi–Metzner–Sachs (BMS) group B is the common asymptotic symmetry group of all radiating, asymptotically flat, Lorentzian spacetimes. As such, B is the best candidate for the universal
Representations of the ultrahyperbolic BMS group HB.II. Determination of the representations induced from infinite little groups
The ordinary Bondi-Metzner-Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian space-times. As such, B is the best candidate for the universal symmetry
Representations of the Bondi-Metzner-Sachs group - II. Properties and classification of the representations
  • P. McCarthy
  • Mathematics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1973
A proof is given that all (and not merely all connected) little groups of the B. M. S. group are compact, so that B. M. S. spins are discrete whether or not the little groups are connected. The
Representations of the Bondi-Metzner—Sachs group III. Poincaré spin multiplicities and irreducibility
  • P. McCarthy, M. Crampin
  • Mathematics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1973
It has been conjectured that representations of the B.M.S. group may be of relevance to the classification of elementary particles. In an effort to examine this conjecture, the Poincaré spin
The BMS group and generalized gravitational instantons
The ordinary Bondi–Metzner–Sachs (BMS) group B is the best candidate for the fundamental symmetry group of General Relativity. It has been shown that B admits generalizations to real space–times of
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