A note on a gauge-gravity relation and functional determinants

Details A note on a gauge-gravity relation and functional determinants A note on a gauge-gravity relation and functional determinants

2010-04-08

arxiv.org/abs/1004.1394v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, iop

Scientific paper

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.

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