BPS deformations of the Skyrme model

TL;DR

This paper explores various deformations of the Skyrme model, revealing conditions under which BPS sectors with arbitrary topological charge exist, including in gravitating scenarios with a cosmological constant.

Contribution

It introduces new deformations of the Skyrme model that admit BPS sectors of arbitrary charge, expanding understanding of topological solutions in these models.

Findings

Existence of a BPS sector for a family of background metrics and couplings.

Infinite BPS sectors in the gravitating case with a cosmological constant.

Identification of conditions allowing arbitrary topological charge in BPS sectors.

Abstract

We study several deformations of the Skyrme model in three dimensions with self-dual sectors of arbitrary baryonic charge. We show that, for a family of background metrics as well as for a family of field dependent couplings, the model has one BPS sector, which may have any topological charge. We also study the gravitating case, where there are infinite BPS sectors, provided that a cosmological constant is added to the model.