A canonical realization of the Weyl BMS symmetry

Abstract

We construct a free field realization of an extension of the BMS algebra in $2+1$ 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.

arXiv commentVersion accepted for publication in Physics Letters B. Corrected a typo. Added a comment and updated the bibliography and research sponsors

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Cited by in corpus (5)

• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• The (super)conformal BMS${}_3$ algebra
• Enhanced Conformal $BM{S}_3$ Symmetries
• Polyharmonic Green Functions and Nonlocal BMS Transformations of a Free Scalar Field
• 3-dimensional $\Lambda$-BMS Symmetry and its Deformations