标题： ${\mathcal{O}(r^N)} $二形式渐近对称性和重整化电荷 显示英文标题

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

摘要： 我们研究了四维闵可夫斯基时空中二形式规范场的$ \mathcal{O}\left( r^N \right) $渐近对称性。 通过使用辛正规化方法，我们确定了$ N $个独立的渐近荷，每个荷由角变量的任意函数参数化。 在洛伦兹规范下，规范参数需要包含对数（次领头阶）项的径向展开，以确保在领头阶具有非平凡的角依赖性。 同时，我们采用一种场强具有幂级数展开的设定，允许规范场展开中纯规范部分出现对数项。 同样的设定也被应用于电磁学的研究中。 显示英文摘要

摘要： 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.