On exactly marginal deformations of N = 4 SYM and type-IIB supergravity on AdS5 × S5

Ofer Aharony*, Barak Kol, Shimon Yankielowicz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

68 Scopus citations


N = 4 supersymmetric Yang-Mills theory with gauge group SU (N) (N ≥ 3) is believed to have two exactly marginal deformations which break the supersymmetry to N = 1. We discuss the construction of the string theory dual to these deformations, in the supergravity approximation, in a perturbation series around the AdS5 × S5 solution. We construct explicitly the deformed solution at second order in the deformation. We show that deformations which are marginal but not exactly marginal lead to a non-conformal solution with a logarithmically running coupling constant. Surprisingly, at third order in the deformation we find the same beta functions for the couplings in field theory and in supergravity, suggesting that the leading order beta functions (or anomalous dimensions) do not depend on the gauge coupling (the coefficient is not renormalized).

Original languageAmerican English
Pages (from-to)859-904
Number of pages46
JournalJournal of High Energy Physics
Issue number6
StatePublished - 1 Jun 2002
Externally publishedYes


  • AdS-CFT and dS-CFT Correspondence
  • Classical Theories of Gravity
  • Renormalization Group
  • Supergravity Models


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