First results from simulations of supersymmetric lattices

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Abstract

We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of [1]-[3]. We consider the = 4 theory in D = 0,2 dimensions and the = 16 theory in D = 0,2,4 dimensions. We show that the U(N) theories do not possess vacua which are stable non-perturbatively, but that this problem can be circumvented after truncation to SU(N). We measure the distribution of scalar field eigenvalues, the spectrum of the fermion operator and the phase of the Pfaffian arising after integration over the fermions. We monitor supersymmetry breaking effects by measuring a simple Ward identity. Our results indicate that simulations of N = 4 super Yang-Mills may be achievable in the near future.

Original languageEnglish (US)
Article number040
JournalJournal of High Energy Physics
Volume2009
Issue number1
DOIs
StatePublished - Apr 8 2009

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Keywords

  • Extended supersymmetry
  • Lattice gauge field theories
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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