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Séminaires sur les aspects théoriques et expérimentaux de la gravitation
# Quantum gravity at one-loop and AdS/CFT

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Amphithéâtre Léon Motchane (Institut des Hautes Etudes Scientifiques)
### Amphithéâtre Léon Motchane

#### Institut des Hautes Etudes Scientifiques

Bois-Marie
35, route de Chartres
91440 Bures-sur-Yvette

Description

In the AdS/CFT correspondence, gauge theory calculations beyond the planar approximation correspond to quantum corrections in gravity or in string theory. Recently, the partition function on the three-sphere of Chern-Simons-matter theories has been computed at all orders in the 1/N expansion, and this leads to predictions for quantum corrections in M-theory/string theory. Using the ideas of effective field theory, we show that some of these corrections can be calculated reliably by doing one-loop calculations in supergravity. A similar reasoning has been used recently to calculate logarithmic corrections to black hole entropy, and we use it here to perform a successful test of AdS4 /CFT3 beyond the leading, planar approximation.

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