Supersymmetric Q Solitons of Arbitrary Genus

Abstract

We construct "Flying Saucer" solitons in supersymmetric N=2 gauge theory which is known to support BPS domain walls with a U(1) gauge field localized on its worldvolume. We demonstrate that this model supports exotic particle-like solitons whose topology is largely arbitrary: closed orientable surfaces in three-dimensional space which can have arbitrary genus. In particular, we focus on Q tori. Q tori and similar solitons of higher genera are obtained by folding the domain wall into an appropriate surface. Nontrivial cycles on the domain wall worldvolume (handles) are stabilized by crossed electric and magnetic fields inside the folded domain wall. Three distinct frameworks are used to prove the existence of these Flying Saucer solitons and study their properties: the worldvolume description (including the Dirac-Born-Infeld action), the bulk theory description in the sigma-model limit, and the bulk theory description in the thin-edge approximation. In the sigma-model framework the Q torus is shown to be related to the Hopf Skyrmion studied previously.

54 pages, 20 figures; v. 2: reference added; v.3:references added, title changed. Final version accpted for publication in PRD

References in corpus (5)

• The Hopf Skyrmion in QCD with Adjoint Quarks
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Multi-vortices are Wall Vortices: A Numerical Proof
• Supertubes in Field Theories
• Soliton Junctions in the Large Magnetic Flux Limit

Cited by in corpus (6)

• Baryonic sphere: a spherical domain wall carrying baryon number
• Revisiting the Faddeev-Skyrme Model and Hopf Solitons
• Confinement and Localization on Domain Walls
• Toroidal domain walls as Hopfions
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Quantum Fusion of Domain Walls with Fluxes