Supersymmetry Breaking on Gauged Non-Abelian Vortices

Abstract

There are a large number of systems characterized by a completely broken gauge symmetry, but with an unbroken global color-flavor diagonal symmetry, i.e., systems in the so-called color-flavor locked phase. If the gauge symmetry breaking supports vortices, the latter develop non-Abelian orientational zero-modes and become non-Abelian vortices, a subject of intense study in the last several years. In this paper we consider the effects of weakly gauging the full exact global flavor symmetry in such systems, deriving an effective description of the light excitations in the presence of a vortex. Surprising consequences are shown to follow. The fluctuations of the vortex orientational modes get diffused to bulk modes through tunneling processes. When our model is embedded in a supersymmetric theory, the vortex is still 1/2 BPS saturated, but the vortex effective action breaks supersymmetry spontaneously.

arXiv commentLatex, 24 pages, 1 figure

References in corpus (30)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Phases of $N=2$ Theories In Two Dimensions
• Color superconductivity in dense quark matter
• Vortices, Instantons and Branes
• Semilocal and Electroweak Strings
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Vortex Strings and Four-Dimensional Gauge Dynamics
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Moduli Space of Non-Abelian Vortices
• Quantum Vortex Strings: A Review
• Nonabelian Monopoles and the Vortices that Confine Them
• Semilocal Topological Defects
• Universal Reconnection of Non-Abelian Cosmic Strings
• The BPS Spectra of Gauge Theories in Two and Four Dimensions
• Supersymmetry and Bogomol'nyi equations in the Abelian Higgs Model
• Instabilities of Non-Abelian Vortices in Dense QCD
• Dynamical Symmetry Breaking in Supersymmetric SU(n_c) and USp(2n_c) Gauge Theories
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Supersymmetric Nonlinear Sigma Models as Gauge Theories
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Non-Abelian Strings in Hot or Dense QCD
• Non-Abelian vortices and monopoles in SO(N) theories
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Dynamics of Supersymmetric SU(n_c) and USp(2n_c) Gauge Theories
• Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories
• Non-Abelian vortex dynamics: Effective world-sheet action
• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
• Nonabelian Monopoles
• On the Stability of Non-Abelian Semi-local Vortices

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