Twisted supersymmetries in lattice N = 4 super Yang-Mills theory

Simon Catterall, Joel Giedt, Anosh Joseph

Research output: Contribution to journalArticle

20 Scopus citations

Abstract

Recently it has been shown how a topologically twisted version of N = 4 super Yang-Mills may be discretized in such a way as to preserve one scalar supersymmetry at nonzero lattice spacing. The remaining fifteen supersymmetries are broken by terms of O(a) where a is the lattice spacing. One would like to know whether these remaining supersymmetries are regained in the continuum limit a → 0 and, if not, how much tuning of the couplings in the lattice action is required. In this paper we derive the form of these additional twisted supersymmetries by combining a set of discrete R-symmetries of the continuum theory with the action of the scalar supersymmetry. We then argue that restoration of rotational symmetry in the continuum limit of the lattice theory likely implies restoration of R-symmetry and hence should lead to an automatic enhancement to the full N = 4 supersymmetry without further fine-tuning.

Original languageEnglish (US)
Article number166
JournalJournal of High Energy Physics
Volume2013
Issue number10
DOIs
StatePublished - Oct 1 2013

Keywords

  • Extended Supersymmetry
  • Lattice Quantum Field Theory
  • Supersymmetric gauge theory
  • Topological Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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