Lattice Supersymmetry via Twisting

Abstract

We describe how the usual supercharges of extended supersymmetry may be {\it twisted} to produce a BRST-like supercharge $Q$. The usual supersymmetry algebra is then replaced by a twisted algebra and the action of the twisted theory is shown to be generically $Q$-exact. In flat space the twisting procedure can be regarded as a change of variables carrying no physical significance. However, the twisted theories can often be transferred to the lattice while preserving the twisted supersymmetry. As an example we construct a lattice version of the two-dimensional supersymmetric sigma model.

Contribution to Lattice2004(theory)

References in corpus (1)

• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry

Cited by in corpus (5)

• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Twisted supersymmetric sigma model on the lattice
• Supersymmetric Yang--Mills theories with exact supersymmetry on the lattice
• Supersymmetric quiver gauge theories on the lattice