Baby Skyrmion in two-component holographic superfluids

TL;DR

This paper constructs and analyzes baby skyrmion configurations in a holographic two-component superfluid model, revealing how their existence depends on inter-component coupling and introducing novel static and dynamic solution methods.

Contribution

It is the first to realize baby skyrmions in a holographic superfluid model, employing both static and time evolution methods to find two distinct configurations.

Findings

Two types of baby skyrmions identified: monopole and dipole.

Existence of skyrmions depends on inter-component coupling strength.

Static and dynamic solution methods successfully constructed skyrmions.

Abstract

In the two-component Ginzburg-Landau theory of superfluidity, a pair of fractional vortices form a composite type of topological defect, usually referred to as a baby skyrmion. In this paper, we initiate the construction of such a baby skyrmion in the holographic model of two-component superfluids. As a result, two types of baby skyrmion configurations are found, where the monopole-type of one is constructed directly by solving the static equations of motion while the dipole-type of one is obtained by resorting to the time evolution method. In addition, we find that the existence of these two types of baby skyrmion depends on the inter-component coupling, reminiscent of the situation in the baby skyrmion model.