Supersymmetric Q-Lumps in the Grassmannian nonlinear sigma models

TL;DR

This paper constructs supersymmetric Grassmannian sigma models, derives BPS equations for Q-lumps with both topological and Noether charges, and demonstrates their consistent time-dependent solutions preserving supersymmetry.

Contribution

It introduces a new supersymmetric Grassmannian sigma model with explicit BPS Q-lump solutions that are time-dependent yet supersymmetry-preserving.

Findings

Q-lump solutions carry both topological and Noether charges

Solutions are inherently time-dependent with multiple frequencies

Time dependence does not break supersymmetry

Abstract

We construct the N=2 supersymmetric Grassmannian nonlinear sigma model for the massless case and extend it to massive N=2 model by adding an appropriate superpotential. We then study their BPS equations leading to supersymmetric Q-lumps carrying both topological and Noether charges. These solutions are shown to be always time dependent even sometimes involving multiple frequencies. Thus we illustrate explicitly that the time dependence is consistent with remaining supersymmetries of solitons.