Lattice N = 4 super Yang-Mills at strong coupling

Simon Catterall, Joel Giedt, Goksu Can Toga

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we present results from numerical simulations of N = 4 super Yang-Mills for two color gauge theory over a wide range of ’t Hooft coupling 0 < λ ≤ 30 using a supersymmetric lattice action [1]. Numerical study of this lattice theory has been stymied until recently by both sign problems and the occurrence of lattice artifact phases at strong coupling. We have recently developed a new action that appears capable of solving both problems. The resulting action possesses just SU(2) rather than U(2) gauge symmetry. By explicit computations of the fermion Pfaffian we present evidence that the theory possesses no sign problem and exists in a single phase out to arbitrarily strong coupling. Furthermore, preliminary work shows that the logarithm of the supersymmetric Wilson loop varies as the square root of the ’t Hooft coupling λ for large λ in agreement with holographic predictions.

Original languageEnglish (US)
Article number140
JournalJournal of High Energy Physics
Volume2020
Issue number12
DOIs
StatePublished - Dec 2020

Keywords

  • AdS-CFT Correspondence
  • Extended Supersymmetry
  • Lattice Quantum Field Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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