A canonical realization of the Weyl BMS symmetry
Carles Batlle, V\'ictor Campello, Joaquim Gomis
TL;DR
This paper develops a free field realization of an extended BMS algebra in 2+1 dimensions, including supertranslations, superrotations, and superdilatations, and discusses challenges in extending to the full conformal group.
Contribution
It introduces a novel free field realization of an extended BMS algebra with superdilatations in 2+1 dimensions, expanding the understanding of asymptotic symmetries.
Findings
Constructed a free field realization of the extended BMS algebra.
Identified difficulties in extending the algebra to the full conformal group.
Highlighted the structure and features of the extended algebra.
Abstract
We construct a free field realization of an extension of the BMS algebra in dimensional space-time. Besides the supertranslations and superrotations, the extension contains an infinite set of superdilatations. We also comment the difficulties that appear when trying to extend the algebra to that of the full conformal group.
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