Blocking-inspired supersymmetric actions: a status report

TL;DR

This paper reviews recent progress in constructing supersymmetric actions inspired by blocking techniques, focusing on lattice implementations and the effects of translational symmetry on locality and symmetry realization.

Contribution

It provides a comprehensive status update on blocking-inspired supersymmetric actions, analyzing their lattice formulations and symmetry properties in specific models.

Findings

Translational symmetry impacts the realization of supersymmetry on the lattice.

Locality of symmetry generators remains a key consideration.

Progress has been made in formulating supersymmetric quantum mechanics and Wess-Zumino models on the lattice.

Abstract

We provide a status report on the advances in blocking-inspired supersymmetric actions. This is done at the example of interacting supersymmetric quantum mechanics as well as the Wess-Zumino model. We investigate in particular the implications of a nontrivial realisation of translational symmetry on the lattice in this approach. We also discuss the locality of symmetry generators.