标题： 关于规范-引力关系和功能行列式的注记 显示英文标题

标题： A note on a gauge-gravity relation and functional determinants

摘要： 我们提出了一种对最近发现的单环有效作用量之间规范-引力关系的改进：在规范理论方面，考虑在二维空间中处于恒定最大对称电磁场中的带电标量粒子；在引力方面，考虑在d维（欧几里得）反德西特空间中的自旋1/2粒子。 包含AdS的维度正则化体积导致了维度正则化内的完全映射。 在偶数维AdS中，我们得到了对原始提议的小修正；而在奇数维AdS中，映射是全新的且微妙的，其中“全息迹异常”起着关键作用。 显示英文摘要

摘要： We present a refinement of a recently found gauge-gravity relation between one-loop effective actions: on the gauge side, for a massive charged scalar in 2d dimensions in a constant maximally symmetric electromagnetic field; on the gravity side, for a massive spinor in d-dimensional (Euclidean) anti-de Sitter space. The inclusion of the dimensionally regularized volume of AdS leads to complete mapping within dimensional regularization. In even-dimensional AdS, we get a small correction to the original proposal; whereas in odd-dimensional AdS, the mapping is totally new and subtle, with the `holographic trace anomaly' playing a crucial role.