${\cal N}=2$ Higher Spins by Harmonic Superspace Methods

TL;DR

This paper reviews the development and application of harmonic ${ m N}=2$ superspace methods for describing supersymmetric field theories with higher spins, highlighting recent advances in ${ m N}=2$ higher spin theories.

Contribution

It provides a concise overview of harmonic superspace techniques and their recent extension to ${ m N}=2$ higher spin theories, demonstrating their effectiveness.

Findings

Harmonic superspace enables off-shell descriptions of ${ m N}=2$ theories.

Recent applications include higher spin ${ m N}=2$ models.

The methods facilitate geometric and algebraic analysis of supersymmetric fields.

Abstract

Harmonic ${\cal N}=2$ superspace was discovered in 1984 as the powerful tool of the geometric superfield off-shell description of ${\cal N}=2, 4D$ supersymmetric field theories with the maximal spins 1, 2, and 1/2 (${\cal N}=2$ Yang-Mills theories, supergravity and matter hypermultiplets). My talk is a brief account of the basic achievements of the harmonic methods, including the newest applications in ${\cal N}=2$ theories of higher spins.