A note on a gauge-gravity relation and functional determinants

R. Aros, D. E. Díaz, A. Montecinos

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 a complete mapping within dimensional regularization. In even-dimensional AdS, we acquire 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.

Original languageEnglish
Article number295401
JournalJournal of Physics A: Mathematical and Theoretical
Issue number29
Publication statusPublished - 2010

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


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