In this Letter we extend the proof, by Faraco and Lindberg (2020), of Taylor’s conjecture in multiply connected domains to cover arbitrary vector potentials and remove the need to impose restrictions on the magnetic field to ensure gauge invariance of the helicity integral. This extension allows us to treat general magnetic fields in closed domains that are important in laboratory plasmas and brings closure to a conjecture whose resolution has been open for almost 50 years.

中文翻译：

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多连通域中泰勒猜想的证明

在这封信中，我们扩展了 Faraco 和 Lindberg (2020) 在多重连接域中对泰勒猜想的证明，以涵盖任意矢量势，并消除了对磁场施加限制以确保螺旋度积分的规范不变性的需要。这种扩展使我们能够处理在实验室等离子体中很重要的封闭域中的一般磁场，并结束了一个已经解决了近 50 年的猜想。