Holography from lattice N = 4 super Yang-Mills

Simon Catterall, Joel Giedt, Goksu Can Toga

Research output: Contribution to journalArticlepeer-review


In this paper we use lattice simulation to study four dimensional N = 4 super Yang-Mills (SYM) theory. We have focused on the three color theory on lattices of size 124 and for ’t Hooft couplings up to λ = 40.0. Our lattice action is based on a discretization of the Marcus or GL twist of N = 4 SYM and retains one exact supersymmetry for non-zero lattice spacing. We show that lattice theory exists in a single non-Abelian Coulomb phase for all ’t Hooft couplings. Furthermore the static potential we obtain from correlators of Polyakov lines is in good agreement with that obtained from holography — specifically the potential has a Coulombic form with a coefficent that varies as the square root of the ’t Hooft coupling.

Original languageEnglish (US)
Article number84
JournalJournal of High Energy Physics
Issue number8
StatePublished - Aug 2023


  • Algorithms and Theoretical Developments
  • Lattice Quantum Field Theory
  • Supersymmetric Gauge Theory
  • Wilson
  • ’t Hooft and Polyakov loops

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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