RG-flow, gravity and the cosmological constant

Erik Verlinde, Herman Verlinde

Research output: Contribution to journalArticlepeer-review

90 Scopus citations


We study the low energy effective action S of gravity, induced by integrating out gauge and matter fields, in a general class of Randall-Sundrum type string compactification scenarios with exponential warp factors. Our method combines dimensional reduction with the holographic map between 5-d supergravity and 4-d large-N field theory. Using the classical supergravity approximation, we derive a flow equation of the effective action S that controls its behavior under scale transformations. We find that as a result each extremum of S automatically describes a complete RG trajectory of classical solutions. This implies that, provided the cosmological constant is canceled in the high energy theory, classical flat space backgrounds naturally remain stable under the RG-flow. The mechanism responsible for this stability is that the non-zero vacuum energy generated by possible phase transitions, is absorbed by a dynamical adjustment of the contraction rate of the warp factor.

Original languageEnglish (US)
Pages (from-to)20-25
Number of pages6
JournalJournal of High Energy Physics
Issue number5 PART B
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Cosmology of Theories beyond the SM
  • String Duality
  • Superstring Vacua


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