Lattice formulation of N = 4 super Yang-Mills theory

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54 Scopus citations


We construct a lattice action for N ≤ 4 super Yang-Mills theory in four dimensions which is local, gauge invariant, free of spectrum doubling and possesses a single exact supersymmetry. Our construction starts from the observation that the fermions of the continuum theory can be mapped into the component fields of a single real anticommuting Kähler-Dirac field. The original supersymmetry algebra then implies the existence of a nilpotent scalar supercharge Q and a corresponding set of bosonic superpartners. Using this field content we write down a Q-exact action and show that, with an appropriate change of variables, it reduces to a well-known twist of N ≤ 4 super Yang-Mills theory due to Marcus. Using the discretization prescription developed earlier we are able to translate this geometrical action to the lattice.

Original languageEnglish (US)
Pages (from-to)601-617
Number of pages17
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 1 2005


  • Extended Supersymmetry
  • Lattice Gauge Field Theories
  • Topological Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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