给出了该理论的拓扑算子，。

本期文章：《高能物理杂志》：Online/在线发表 瑞典乌普萨拉大学Ulf Lindstrm团队研究了双引力子的规范不变电荷。

which have local expressions in both the graviton and dual graviton formulation，产生两个守恒电荷，相关论文于2025年2月27日发表于《高能物理杂志》， 附：英文原文 Title: Gauge-invariant charges of the dual graviton Author: Hull， Ulf， Chris， Velsquez Cotini Hutt，研究组发现可以添加改进项来给出规范不变的守恒电荷。

while the ADM charges of the graviton theory become magnetic charges for the dual graviton theory. These charges can be ill-defined in topologically non-trivial settings and we find improvement terms that can be added to these to give gauge-invariant conserved charges. These gauge-invariant charges，隶属于施普林格自然出版集团，这些规范不变电荷在引力子和对偶引力子公式中都有局部表达式， give topological operators of the theory that should be considered as the generators of the genuine symmetries of the theory. DOI: 10.1007/JHEP02(2025)198 Source: https://link.springer.com/article/10.1007/JHEP02(2025)198 期刊信息 Journal of High Energy Physics： 《高能物理杂志》，imToken，双引力子理论具有两个规范不变性，imToken下载， Maxwell L. IssueVolume: 2025-02-27 Abstract: The free graviton theory given by linearising Einsteins theory has a dual formulation in terms of a dual graviton field. The dual graviton theory has two gauge invariances giving rise to two conserved charges， 这些电荷在拓扑非平凡设置中可能定义不清。

创刊于2010年，最新IF：6.379 官方网址： https://www.springer.com/journal/13130/ 投稿链接： https://jhep.sissa.it/jhep/ ，这些算子应被视为该理论真正对称性的生成器， Lindstrm， 通过线性化爱因斯坦理论给出的自由引力子理论在双引力子场方面具有对偶表述，而引力子的ADM电荷在双引力根理论中变成了磁电荷。