A note on a gauge–gravity relation and functional determinants
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Fecha
2010
Autores
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
Institute of Physics
Nombre de Curso
Licencia CC
Licencia CC
Resumen
Abstract 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 dimensional AdS, the mapping is totally new and subtle, with the ‘holographic trace anomaly’ playing a crucial role.
Notas
Palabras clave
Gravedad, Gauge–gravity relation, Gravity side, Gauge side - PACS numbers: 11.10.Kk, 04.62.+v, 11.15.Kc
Citación
Journal of Physics A: Mathematical and Theoretical, vol. 43, n° 29. 2010.