Symplectic sigma models in superspace

TL;DR

This paper explores a special class of N=4 supersymmetric sigma models in one dimension, describing their off-shell formulations and deriving the general form of their bosonic target metrics using harmonic superspace techniques.

Contribution

It introduces a symplectic class of N=4 sigma models in (0+1) dimensions and derives their bosonic target metrics using harmonic superspace methods.

Findings

Derived the general form of the bosonic target metric.

Presented off-shell formulations using N=2 and N=4 superfields.

Characterized the symplectic class of supersymmetric sigma models.

Abstract

We discuss a special ``symplectic'' class of N = 4 supersymmetric sigma models in (0+1) dimension with 5r bosonic and 4r complex fermionic degrees of freedom. These models can be described off shell by N = 2 superfields (so that only half of supersymmetries are manifest) and also by N = 4 superfields in the framework of the harmonic superspace approach. Using the latter, we derive the general form of the relevant bosonic target metric.