SU(2) Chern-Simons Theory Coupled to Competing Scalars

Abstract

We study a spontaneously broken SU(2) Chern-Simons-Higgs model coupled though a Higgs portal to an uncharged triplet scalar with a vacuum state competing with the Higgs one. We find vortex-like solutions to the field equations in different parameter space regions. Depending on the scalar coupling constants we find a parameter region in which the competing order creates a halo about the Chern-Simons-Higgs vortex core, together with two other regions, one where no vortex solutions exist, the other where ordinary Chern-Simons-Higgs vortices can be found. We derive the low-energy theory for the moduli fields on the vortex world sheet and also discuss the connection of our results with those found in studies of competing orders in high temperature superconductors.

19 pages, 6 figures, v2: new figure and corrections

References in corpus (7)

• Theory of Intertwined Orders in High Temperature Superconductors
• Influence of domain walls in the incommensurate charge density wave state of Cu intercalated 1$T$-TiSe${}_2$
• Pair Density Waves in Superconducting Vortex Halos
• Stable charged cosmic strings
• Low energy dynamics of $U(1)$ vortices in systems with cholesteric vacuum structure
• N=2 SUSY Abelian Higgs model with hidden sector and BPS equations
• Visible and hidden sectors in a model with Maxwell and Chern-Simons gauge dynamics

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