CP(n) supersymmetric mechanics in U(n) background gauge fields

TL;DR

This paper develops a new N=4 supersymmetric mechanics model for a particle moving on a complex projective space with background gauge fields, expanding the understanding of supersymmetric systems in curved spaces.

Contribution

It introduces a novel N=4 supersymmetric mechanics framework on $CP^n$ with U(n) gauge backgrounds, combining geometric and gauge field aspects.

Findings

Successfully constructed the supersymmetric model.

Demonstrated compatibility with supersymmetry algebra.

Provided insights into particle dynamics in curved gauge backgrounds.

Abstract

We construct a new N=4 supersymmetric mechanics describing the motion of a particle over a $CP^n$ manifold in U(n) background gauge fields.