Fractional and semi-local non-Abelian Chern-Simons vortices

Abstract

In this paper we study fractional as well as semi-local Chern-Simons vortices in G = U(1) x SO(2M) and G = U(1) x USp(2M) theories. The master equations are solved numerically using appropriate Ansatze for the moduli matrix field. In the fractional case the vortices are solved in the transverse plane due to the broken axial symmetry of the configurations (i.e. they are non-rotational invariant). It is shown that unless the fractional vortex-centers are all coincident (i.e. local case) the ring-like flux structure, characteristic of Chern-Simons vortices, will become bell-like fluxes - just as those of the standard Yang-Mills vortices. The asymptotic profile functions are calculated in all cases and the effective size is identified.

LaTeX, 38 pages, 16 figures.

References in corpus (24)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• TASI Lectures on Solitons
• On the moduli space of semilocal strings and lumps
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• On the L^2-metric of vortex moduli spaces
• Non-Abelian vortices and monopoles in SO(N) theories
• Fractional Vortices and Lumps
• Fermion structure of non-Abelian vortices in high density QCD
• Non-Abelian Chern-Simons Vortices
• Vortex-type Half-BPS Solitons in ABJM Theory
• Interactions of Non-Abelian Global Strings
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• The Partonic Nature of Instantons
• Non-Abelian Chern-Simons vortices with generic gauge groups
• The Dynamics of Chern-Simons Vortices
• Non-Abelian Global Vortices
• Non-Abelian Global Strings at Chiral Phase Transition
• The Moduli Space Metric for Well-Separated Non-Abelian Vortices
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory
• Dyonic Non-Abelian Vortices
• Non-Abelian Vortices on the Torus
• Low-energy U(1) x USp(2M) gauge theory from simple high-energy gauge group
• Trions in 1+1 dimensions

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