N=4, d=1 tensor multiplet and hyper-Kahler sigma-models

TL;DR

This paper shows how hyper-Kahler manifolds can be derived from a one-dimensional N=4 tensor supermultiplet sigma-model by dualizing an auxiliary bosonic field into a physical one.

Contribution

It introduces a method to obtain hyper-Kahler geometries from N=4, d=1 tensor multiplet sigma-models through dualization of auxiliary fields.

Findings

Hyper-Kahler manifolds emerge from the sigma-model after dualization.

The dualization process transforms auxiliary bosonic components into physical ones.

The approach provides a new perspective on constructing hyper-Kahler geometries.

Abstract

We demonstrate how hyper-Kahler manifolds arise from a sigma-model action for N=4, d=1 tensor supermultiplet after dualization of the auxiliary bosonic component into a physical bosonic one.