On the holographic renormalization group

Jan De Boer, Erik Verlinde, Herman Verlinde

Research output: Contribution to journalArticlepeer-review

414 Scopus citations


We propose a direct correspondence between the classical evolution equations of 5-d supergravity and the renormalization group (RG) equations of the dual 4-d large-N gauge theory. Using standard Hamilton-Jacobi theory, we derive first order flow equations for the classical supergravity action S, that take the usual form of the Callan-Symanzik equations, including the corrections due to the conformal anomaly. This result gives direct support for the identification of S with the quantum effective action of the gauge theory. In addition we find interesting new relations between the beta-functions and the counterterms that affect the 4-d cosmological and Newton constant.

Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalJournal of High Energy Physics
Issue number8 PART A
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT Correspondance
  • Renormalization Regularization and Renormalons
  • Space-Time Symmetries


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