Three Dimensional N=2 Supersymmetry on the Lattice

Abstract

We show how 3-dimensional, N=2 supersymmetric theories, including super QCD with matter fields, can be put on the lattice with existing techniques, in a way which will recover supersymmetry in the small lattice spacing limit. Residual supersymmetry breaking effects are suppressed in the small lattice spacing limit by at least one power of the lattice spacing a.

21 pages, 2 figures, typo corrected, reference added

References in corpus (4)

• A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
• A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• R-symmetry in the Q-exact (2,2) 2d lattice Wess-Zumino model

Cited by in corpus (10)

• Emergence of supersymmetry at a critical point of a lattice model
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Lattice formulation of three-dimensional $\mathcal{N}=4$ gauge theory with fundamental matter fields
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• 3D N = 1 SYM Chern-Simons theory on the Lattice
• Supersymmetric quiver gauge theories on the lattice
• Large N and Bosonization in Three Dimensions