Canonical Realization of BMS Symmetry. Quadratic Casimir
Joaquim Gomis, Giorgio Longhi
TL;DR
This paper constructs a canonical realization of BMS symmetry for a massive scalar field, introducing an invariant scalar product and a quadratic Casimir involving supertranslations, advancing the understanding of asymptotic symmetries.
Contribution
It provides a new canonical realization of BMS symmetry for massive fields, including an invariant scalar product and a quadratic Casimir with supertranslations.
Findings
Constructed an invariant scalar product for generalized momenta.
Introduced a quadratic Casimir involving supertranslations.
Enhanced the mathematical framework of BMS symmetry for massive fields.
Abstract
We study the canonical realization of BMS symmetry for a massive scalar field introduced in reference \cite{LM}. We will construct an invariant scalar product for the generalized momenta. As a consequence we will introduce a quadratic Casimir with the supertranslations.
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