We show that the relation between the 't Hooft coupling and the radius of AdS is not renormalized at one-loop in the sigma model perturbation theory. We prove this by computing the quantum effective action for the superstring on AdS 5 × S 5 and showing that it does not receive any finite α′ corrections. We also show that the central charge of the interacting worldsheet conformal field theory vanishes at one-loop.
- Ads-cft correspondence
- Sigma models
ASJC Scopus subject areas
- Nuclear and High Energy Physics