# gst: vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model.

<< (AA) investigate a single-component Abelian-Higgs model with an eighth-order scalar potential whose vacuum manifold consists of two disconnected circles. The model supports two species of vortices and domain walls interpolating between the two vacuum components. (They) find type-1.5-like behavior characterized by nonmonotonic intervortex interactions and bound states of spatially separated vortices. >>

<< Inner-vacuum vortices form clusters through short-range repulsion and long-range attraction, whereas outer-vacuum vortices form vortex-filled bubbles in which a closed domain wall confines multiple inner-vacuum-vortex cores. >>

<< (AA) construct the domain wall analytically, derive the asymptotic vortex-wall interactions, and analyze the fluctuation spectra of coincident multivortices to identify their splitting instabilities. >>

D. Miguélez-Caballero, S. Navarro-Obregón, Muneto Nitta, et al. Vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model. arXiv: 2610.21930v1 [hep-th]. Oct 15, 2026.

https://arxiv.org/abs/2610.21930

Also: vortex, bubble, instability, transition, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, vortex, bubbles, instability, transitions, short-range repulsion, long-range attraction.