Partial ${\cal N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets

TL;DR

This paper investigates partial breaking of ${ m extbf{N}}=2$ supersymmetry to ${ m extbf{N}}=1$ using deformed hypermultiplets and projective superspace, introducing new models with and without higher-derivative interactions.

Contribution

It provides a systematic framework for partial supersymmetry breaking using deformed hypermultiplets in ${ m extbf{N}}=2$ projective superspace, including new models beyond known results.

Findings

Reproduces known partial breaking models.

Introduces new models with higher-derivative interactions.

Demonstrates the role of deformed supersymmetry algebra.

Abstract

We study partial supersymmetry breaking from ${\cal N}=2$ to ${\cal N}=1$ by adding non-linear terms to the ${\cal N}=2$ supersymmetry transformations. By exploiting the necessary existence of a deformed supersymmetry algebra for partial breaking to occur, we systematically use ${\cal N}=2$ projective superspace with central charges to provide a streamlined setup. For deformed ${\cal O}(2)$ and ${\cal O}(4)$ hypermultiplets, besides reproducing known results, we describe new models exhibiting partial supersymmetry breaking with and without higher-derivative interactions.