A Journey Through Garden Algebras

TL;DR

This paper provides a pedagogical overview of classifying off-shell linear supermultiplets in supersymmetric mechanics, emphasizing a graphical technique that simplifies their description and interrelations.

Contribution

It introduces and explains a recent graphical method that effectively classifies and relates supermultiplets in supersymmetric mechanics.

Findings

Graphical technique simplifies classification of supermultiplets

Enhanced understanding of off-shell supermultiplet relations

Pedagogical approach aids learning and research

Abstract

The main purpose of these lectures is to give a pedagogical overview on the possibility to classify and relate off-shell linear supermultiplets in the context of supersymmetric mechanics. A special emphasis is given to a recent graphical technique that turns out to be particularly effective for describing many aspects of supersymmetric mechanics in a direct and simplifying way.