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Vortex Strings and Four-Dimensional Gauge Dynamics

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arxiv hep-th/0403158 v3 pith:ECC2EFHE submitted 2004-03-15 hep-th

Amihay Hanany , David Tong This is my paper · ORCID
classification hep-th
keywords stringvortexdynamicsfour-dimensionalgaugequantumspectrumstrings
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the low-energy quantum dynamics of vortex strings in the Higgs phase of N=2 supersymmetric QCD. The exact BPS spectrum of the stretched string is shown to coincide with the BPS spectrum of the four-dimensional parent gauge theory. Perturbative string excitations correspond to bound W-bosons and quarks while the monopoles appear as kinks on the vortex string. This provides a physical explanation for an observation by N. Dorey relating the quantum spectra of theories in two and four dimensions.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists

    hep-th 2025-07 conditional novelty 7.0 of 10

    Explicit theta-function solutions for fractional BPS lumps on a twisted torus are constructed, and the moduli space is a CP^(Nk+p-1) fiber bundle over a small torus, matching the index theorem.

  2. Unified description of color-electric and color-magnetic strings in hybrid vacua of $\mathcal{N}=2$ supersymmetric QCD

    hep-th 2026-07 accept novelty 6.0 of 10

    Exact twisted superpotential on non-Abelian string world sheets in hybrid r-vacua yields precise matching of 2D kink masses to 4D confined monopoles and quarks.

  3. Universalities of Defects in Quantum Field Theories

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.

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