Exact lattice supersymmetry

Simon Catterall, David B. Kaplan, Mithat Ünsal

Research output: Contribution to journalReview articlepeer-review

149 Scopus citations


We provide an introduction to recent lattice formulations of supersymmetric theories which are invariant under one or more real supersymmetries at non-zero lattice spacing. These include the especially interesting case of N = 4 SYM in four dimensions. We discuss approaches based both on twisted supersymmetry and on orbifold-deconstruction techniques and show their equivalence in the case of gauge theories. The presence of an exact supersymmetry reduces and in some cases eliminates the need for fine-tuning to achieve a continuum limit invariant under the full supersymmetry of the target theory. We discuss open problems.

Original languageEnglish (US)
Pages (from-to)71-130
Number of pages60
JournalPhysics Reports
Issue number3-4
StatePublished - Nov 2009

ASJC Scopus subject areas

  • General Physics and Astronomy


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