New BPS Solitons in 2+1 Dimensional Noncommutative CP^1 Model

TL;DR

This paper discovers a new class of BPS solitons in the non-commutative $CP^{1}$ model that are absent in the traditional commutative version, expanding the understanding of soliton solutions in non-commutative field theories.

Contribution

The paper introduces novel BPS solitons specific to the non-commutative $CP^{1}$ model, highlighting differences from the commutative case.

Findings

Identified new BPS solitons unique to the non-commutative setting

Demonstrated the absence of these solitons in the commutative model

Extended the landscape of soliton solutions in non-commutative field theories

Abstract

Investigating the solitons in the non-commutative $CP^{1}$ model, we have found a new set of BPS solitons which does not have counterparts in the commutative model.