Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections

Abstract

Dyonic non-Abelian local/semi-global vortex strings are studied in detail in supersymmetric/non-supersymmetric Yang-Mills-Higgs theories. While the BPS tension formula is known to be the same as that for the BPS dyonic instanton, we find that the non-BPS tension formula is approximated very well by the well-known tension formula of the BPS dyon. We show that this mysterious tension formula for the dyonic non-BPS vortex stings can be understood from the perspective of a low energy effective field theory. Furthermore, we propose an efficient method to obtain an effective theory of a single vortex string, which includes not only lower derivative terms but also all order derivative corrections by making use of the tension formula. We also find a novel dyonic vortex string whose internal orientation vectors rotate in time and spiral along the string axis.

arXiv comment51 pages, 12 figures

References in corpus (24)

• Vortices, Instantons and Branes
• 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
• Dyonic Instantons in Five Dimensional Gauge Theories
• Instabilities of Non-Abelian Vortices in Dense QCD
• Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• The Ginzburg-Landau Free Energy Functional of Color Superconductivity at Weak Coupling
• Non-Abelian Strings in Hot or Dense QCD
• Interactions of Non-Abelian Global Strings
• Higher Derivative Corrections to Non-Abelian Vortex Effective Theory
• Non-Abelian Global Strings at Chiral Phase Transition
• Non-Abelian Global Vortices
• Color Magnetism in Non-Abelian Vortex Matter
• Abrikosov-Nielsen-Olesen string with Non-Abelian Moduli and "Spin-Orbit" Interaction
• On the Stability of Non-Abelian Semi-local Vortices
• Non-Abelian Vortices with an Aharonov-Bohm Effect
• More on the Abrikosov Strings with Non-Abelian Moduli
• Monopole-vortex complex at large distances and nonAbelian duality
• Vortex Zero Modes, Large Flux Limit and Ambjørn-Nielsen-Olesen Magnetic Instabilities
• Quantum Exact Non-Abelian Vortices in Non-relativistic Theories
• Degeneracy between Abelian and Non-Abelian Strings
• Dynamics of slender monopoles and anti-monopoles in non-Abelian superconductor

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