期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2022)154
关键词
Classical Theories of Gravity; Models of Quantum Gravity; Sigma Models; Space-Time Symmetries
资金
- F.R.S.-FNRS Belgium through convention FRFC [PDRT.1025.14, IISN 4.4514.08]
- Austrian Science Fund (FWF) [P 32581-N]
- STFC [ST/P000258/1, ST/T000759/1]
The constrained Hamiltonian analysis of geometric actions is studied and applied to the extended Bondi-Metzner-Sachs group in four dimensions. It is shown that for any Hamiltonian associated with an extended BMS4 generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS4 Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity.
The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS4 generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS4 Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity.
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