3D Lovelock gravity and the holographic c -theorem

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Alkaç G., Süer G.

Physical Review D, vol.107, no.4, 2023 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 107 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1103/physrevd.107.046014
  • Journal Name: Physical Review D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH
  • Open Archive Collection: AVESIS Open Access Collection
  • Middle East Technical University Affiliated: Yes

Abstract

We show that the scalar-tensor theory that arises in a rigorous D→3 limit of Lovelock gravity up to cubic order admits a holographic c-theorem and verify that the value of the c-function at the UV fixed point matches with the Weyl anomaly coefficient (up to an irrelevant factor). The constructed c-function is the same as one that follows from the "naive limit,"which is obtained by scaling the couplings by a factor of 1D-3, and then setting D=3.