Lattice sigma models with exact supersymmetry

Simon M Catterall, Sofiane Ghadab

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and twisted versions of conventional supersymmetric sigma models with N = 2 supersymmetry. The fermionic symmetry corresponds to a scalar BRST charge built from the original supercharges. The lattice theories possess local actions and in many cases admit a Wilson term to suppress doubles. In the two and four dimensional theories we show that these lattice theories are invariant under additional discrete symmetries. We argue that the presence of these exact symmetries ensures that no fine tuning is required to achieve N = 2 supersymmetry in the continuum limit. As a concrete example we show preliminary numerical results from a simulation of the O(3) supersymmetric sigma model in two dimensions.

Original languageEnglish (US)
Pages (from-to)1037-1060
Number of pages24
JournalJournal of High Energy Physics
Volume8
Issue number5
StatePublished - May 1 2004

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Keywords

  • Extended Supersymmetry
  • Lattice Quantum Field Theory
  • Sigma Models
  • Topological Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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