Explicit derivation of a Central extended Hyper-Kahler Metric

TL;DR

This paper derives an explicit form of a central extended Hyper-Kahler metric using integrable models and harmonic superspace techniques, advancing the understanding of Hyper-Kahler geometry in supersymmetric theories.

Contribution

It provides the first explicit derivation of a central extended Hyper-Kahler metric from D=2 N=4 SU(2) Liouville models using harmonic superspace.

Findings

Explicit central extended Hyper-Kahler metric derived

Scalar potential induced by the metric obtained

Method demonstrates application of integrable models to Hyper-Kahler geometry

Abstract

This work consists in applying the analysis of integrable models to study the problem of Hyper-Kahler metrics building. In this context, we use the harmonic superspace language applied to D=2 N=4 SU(2) Liouville self interacting model and derive an explicit central extended Hyper-Kahler metric as well as the induced scalar potential.