Exact Lattice Supersymmetry

Journal Article · Tue Mar 31 00:00:00 EDT 2009 · Submitted to Physics Reports

DOI:https://doi.org/10.1016/j.physrep.2009.09.001· OSTI ID:953013

Catterall, Simon; Kaplan, David B; Unsal, Mithat

We provide an introduction to recent lattice formulations of supersymmetric theories which are invariant under one or more real supersymmetries at nonzero lattice spacing. These include the especially interesting case of N = 4 SYM in four dimensions. We discuss approaches based both on twisted supersymmetry and 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.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 953013
• Report Number(s): SLAC-PUB-13567; arXiv:0903.4881; TRN: US0902620
• Journal Information: Submitted to Physics Reports, Journal Name: Submitted to Physics Reports
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SUPERSYMMETRY
UNIFIED GAUGE MODELS
GAUGE INVARIANCE
Lattice
HEPPH
HEPTH