Non-Abelian Chern-Simons vortices with generic gauge groups

Abstract

We study non-Abelian Chern-Simon BPS-saturated vortices enjoying N=2 supersymmetry in d=2+1 dimensions, with generic gauge groups of the form U(1) x G', with G' being a simple group, allowing for orientational modes in the solutions. We will keep the group as general as possible and utilizing the powerful moduli matrix formalism to provide the moduli spaces of vortices and derive the corresponding master equations. Furthermore, we study numerically the vortices applying a radial Ansatz to solve the obtained master equations and we find especially a splitting of the magnetic fields, when the coupling constants for the trace-part and the traceless part of the Chern-Simons term are varied, such that the Abelian magnetic field density can become negative near the origin of the vortex while the non-Abelian part stays positive, and vice versa.

LaTeX, 25 pages, 8 figures

References in corpus (23)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Vortices, Instantons and Branes
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Solitons in the Higgs phase -- the moduli matrix approach --
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Moduli Space of Non-Abelian Vortices
• TASI Lectures on Solitons
• Non-Abelian Vortices of Higher Winding Numbers
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Non-Abelian vortices and monopoles in SO(N) theories
• Non-Abelian Chern-Simons Vortices
• Vortex-type Half-BPS Solitons in ABJM Theory
• Vortex equations in abelian gauged sigma-models
• J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions
• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
• Non-abelian vortices on compact Riemann surfaces
• A Note on Chern-Simons Solitons - a type III vortex from the wall vortex
• The Dynamics of Chern-Simons Vortices
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory
• Non Abelian Chern-Simons-Higgs solutions in (2+1) dimensions
• BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
• Dyonic Non-Abelian Vortices

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• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Fractional and semi-local non-Abelian Chern-Simons vortices
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• Dynamics of Non-Abelian Vortices
• On non-topological solutions for planar Liouville Systems of Toda-type
• Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system
• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
• Zero-modes of Non-Abelian Solitons in Three Dimensional Gauge Theories
• Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model
• Small data global existence and decay for relativistic Chern-Simons equations
• The moduli space of non-Abelian vortices in Yang-Mills-Chern-Simons-Higgs theory
• Construction of Multi-Bubble Solutions for a System of Elliptic Equations arising in Rank Two Gauge Theory
• A new type of non-topological bubbling solutions to a competitive Chern-Simons model