Fractional Vortices and Lumps

Abstract

We study what might be called fractional vortices, vortex configurations with the minimum winding from the viewpoint of their topological stability, but which are characterized by various notable substructures in the transverse energy distribution. The fractional vortices occur in diverse Abelian or non-Abelian generalizations of the Higgs model. The global and local features characterizing these are studied, and we identify the two crucial ingredients for their occurrence - the vacuum degeneracy leading to non-trivial vacuum moduli M, and the BPS nature of the vortices. Fractional vortices are further classified into two kinds. The first type of such vortices appear when M has orbifold Z_n singularities; the second type occurs in systems in which the vacuum moduli space M possesses either a deformed geometry or some singularity. These general features are illustrated with several concrete models.

LaTeX, 46 pages, 12 figures. V2: minor changes, footnote added

References in corpus (13)

• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Instantons in the Higgs Phase
• TASI Lectures on Solitons
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories
• On the moduli space of semilocal strings and lumps
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Instanton constituents in the O(3) model at finite temperature
• Statistical Mechanics of Vortices from D-branes and T-duality
• Non-Abelian vortices and monopoles in SO(N) theories
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• The Quantum Dynamics of Heterotic Vortex Strings
• Static Interactions of non-Abelian Vortices