Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors

Abstract

In this paper the zero modes of fluctuation of cylindrically symmetric self-dual vortices are analyzed and described in full detail. These BPS topological defects arise at the critical point between Type II and Type I superconductors, or, equivalently, when the masses of the Higgs particle and the vector boson in the Abelian Higgs model are equal. In addition, novel bound states of Higss and vector bosons trapped by the self-dual vortices at their core are found and investigated.

29 pages, 51 figures

References in corpus (6)

• Chiral Gauge Theory for Graphene
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• A note on BPS vortex bound states
• One loop corrections to the mass of self-dual semi-local planar topological solitons
• Lectures on the mass of topological solitons
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Cited by in corpus (11)

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• Collective Coordinate Models for 2-Vortex Shape Mode Dynamics
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• Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
• Spectral wall in collisions of excited Abelian Higgs vortices
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Parametric Resonances in Axionic Cosmic Strings
• Dissecting normal modes of vibration on vortices in Ginzburg-Landau superconductors
• Higgs phase in a gauge $\mathbf{U}(1)$ non-linear ${\mathbf{CP}}^1$-model. Two species of BPS vortices and their zero modes
• Two species of semi-local cosmic strings in Abelian gauged ${\mathbb{CP}}^2$-sigma models coupled to gravity
• Internal Excitations of Global Vortices