Geometry and Harmonic Superspace: some recent progress

TL;DR

This paper reviews the connections between geometry and extended supersymmetry in one-dimensional mechanics, highlighting the harmonic superspace method and recent advancements in the field.

Contribution

It summarizes known links between geometry and supersymmetry and introduces recent developments based on harmonic superspace techniques.

Findings

Harmonic superspace method facilitates analysis of supersymmetric models.

Recent progress enhances understanding of geometric structures in supersymmetry.

The paper consolidates past knowledge with new developments in the field.

Abstract

This contribution follows the talk, given by F. Delduc at the conference SQS'2011 in Dubna, Russia (July 18-23, 2011). To a considerable extent it is a summary of known facts about the links between geometry and extended supersymmetry in d=1 mechanics, with emphasis on the harmonic superspace method created in Dubna in the 80's. Some recent developments based on ref. [1] are also presented.