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Centrally extended BMS4 Lie algebroid
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We explicitly show how the field dependent 2-cocycle that arises in the current algebra of 4 dimensional asymptotically flat spacetimes can be used as a central extension to turn the BMS4 Lie algebra, or more precisely, the BMS4 action Lie algebroid, into a genuine Lie algebroid with field dependent structure functions. Both a BRST formulation, where the extension appears as a ghost number 2 cocyle, and a formulation in terms of vertex operator algebras are introduced. The mapping of the celestial sphere to the cylinder then implies zero mode shifts of the asymptotic part of the shear and of the news tensor.
Forward citations
Cited by 2 Pith papers
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S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives
The celestial S-algebra is shown to unify the twistor, null-infinity, and twisted-holography descriptions of self-dual Yang-Mills, with new two-helicity charges and a nonlinear extrapolate dictionary.
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GGI lectures on boundary and asymptotic symmetries
A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...
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