On the non-renormalization of the AdS radius

Luca Mazzucato, Brenno Carlini Vallilo

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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.

Original languageEnglish
Article number056
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - 2009


  • Ads-cft correspondence
  • Sigma models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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