标题： 通过度规-曲率双射的量子引力对偶表述 显示英文标题

标题： Towards a dual formulation of quantum gravity via metric-curvature bijections

摘要： 我们证明在广义相对论中的黎曼度量在\emph{正常坐标}模式下与曲率2-形式一一对应。 我们讨论如何将其用作算子形式中的变量变换，以构建与量子引力渐近安全类似方法背景相关的量子引力对偶表述。 显示英文摘要

摘要： We prove that Riemannian metrics in General Relativity in the \emph{`normal-coordinates'} gauge are in one-to-one correspondence with curvature 2-forms. We discuss how this can be used as a change of variables in the operator formalism to construct a dual formulation of quantum gravity pertinent in the context of asymptotic safety-like approaches to quantum gravity.