We show how to derive asymptotic charges for field theories on manifolds with “asymptotic” boundary, using the BV-BFV formalism. We also prove that the conservation of said charges follows naturally from the vanishing of the BFV boundary action, and show how this construction generalises Noether’s procedure. Using the BV-BFV viewpoint, we resolve the controversy present in the literature, regarding the status of large gauge transformation as symmetries of the asymptotic structure. We show that even though the symplectic structure at the asymptotic boundary is not preserved under these transformations, the failure is governed by the corner data, in agreement with the BV-BFV philosophy. We analyse in detail the case of electrodynamics and the interacting scalar field, for which we present a new type of duality to a sourced two-form model.

我们展示了如何使用 BV-BFV 形式为具有“渐近”边界的流形上的场论推导渐近电荷。我们还证明了上述电荷的守恒自然地源于 BFV 边界作用的消失，并展示了这种构造如何推广 Noether 的过程。使用 BV-BFV 观点，我们解决了文献中存在的关于大规范变换作为渐近结构对称性的状态的争议。我们表明，尽管在这些变换下没有保留渐近边界处的辛结构，但失败是由角数据控制的，这与 BV-BFV 哲学一致。我们详细分析了电动力学和相互作用的标量场的情况，为此我们提出了一种新型的对偶性源二元模型。