Supermagnets and Sigma models

TL;DR

This paper introduces novel methods for analyzing non-compact sigma models, including supermagnets, supercosets, and supertwistors, aiming to advance their solutions in theoretical physics.

Contribution

It presents new techniques for studying non-compact sigma models, expanding the toolkit for their analysis and potential solutions.

Findings

Reduction to one-dimensional supermagnets

Development of supercoset constructions

Application of supertwistors

Abstract

We discuss new methods for non-compact sigma models with and without RR fluxes. The methods include reduction to one dimensional supermagnets, supercoset constructions and supertwistors. This work is a first step towards the solution of these models, which are important in several areas of physics. I dedicate it to the memory of Volodya Gribov.