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arXiv · 2409.08131

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

Matteo Romoli
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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.

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Matteo Romoli. 2024-09-12. ${\mathcal{O}(r^N)} $ two-form asymptotic symmetries and renormalized charges. https://doi.org/10.1007/jhep12(2024)085

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