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Polyharmonic Green Functions and Nonlocal BMS Transformations of a Free Scalar Field

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arxiv 2207.12299 v1 pith:SZCP62G3 submitted 2022-07-25 hep-th

Carles Batlle , Victor Campello , Joaquim Gomis This is my paper · ORCID
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keywords functionsgreenchargesalgebradiscussfieldfreenonlocal
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We express the nonlocal BMS charges of a free massless Klein-Gordon scalar field in 2+1 in terms of the Green functions of the polyharmonic operators. Using the properties of these Green functions, we are able to discuss the asymptotic behaviour of the fields that ensures the existence of the charges, and prove that one obtains a realization of the 2+1 BMS algebra in canonical phase space. We also discuss the transformations in configuration space, and show that in this case the algebra closes only up to skew-symmetric combinations of the equations of motion. The formulation of the charges, in terms of Green functions, opens the way to the generalization of the formalism to other dimensions and systems.

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  1. BMS-like algebras: canonical realisations and BRST quantisation

    hep-th 2024-11 conditional novelty 6.0 of 10

    A family of Weyl λ-BMS algebras is realized canonically from a Klein-Gordon field, centrally extended, and shown to have BRST cohomology matching an N=2 superconformal chiral ring, while the conformal BMS W-algebra is...

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