$\mathcal{O}(r^N)$ two-form asymptotic symmetries and renormalized charges

Abstract

We investigate $\mathcal{O}\left(r^N\right)$ asymptotic symmetries for a two-form gauge field in four-dimensional Minkowski spacetime. By employing symplectic renormalization, we identify $N$ independent asymptotic charges, with each charge being parametrised by an arbitrary function of the angular variables. Working in Lorenz gauge, the gauge parameters require a radial expansion involving logarithmic (subleading) terms to ensure nontrivial angular dependence at leading order. At the same time, we adopt a setup where the field strength admits a power expansion, allowing logarithms in the gauge field expansions within pure gauge sectors. The same setup is studied for electromagnetism.

arXiv comment37 pages, LaTeX. Matching published version

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