TL;DR
This paper introduces a twisting method for extended supersymmetry, creating a BRST-like supercharge that facilitates formulating supersymmetric theories on the lattice, exemplified by a 2D sigma model.
Contribution
It presents a novel twisting approach that preserves a supersymmetry-like charge on the lattice, enabling non-perturbative studies of supersymmetric theories.
Findings
Twisted supersymmetry algebra replaces the original algebra.
The action becomes Q-exact, simplifying lattice formulations.
Constructed a lattice version of the 2D supersymmetric sigma model.
Abstract
We describe how the usual supercharges of extended supersymmetry may be {\it twisted} to produce a BRST-like supercharge . The usual supersymmetry algebra is then replaced by a twisted algebra and the action of the twisted theory is shown to be generically -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.
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