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Self-dual vortex-like configurations in SU(2) Yang-Mills Theory

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arxiv hep-th/9809037 v1 pith:HAVQUUHA submitted 1998-09-07 hep-th hep-lat

classification hep-thhep-lat
keywords configurationsself-dualvortex-likeyang-millsactionalongclassicalconcentrated
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that there are solutions of the SU(2) Yang-Mills classical equations of motion in R^4, which are self-dual and vortex-like(fluxons). The action density is concentrated along a thick two-dimensional wall (the world sheet of a straight infinite vortex line). The configurations are constructed from self-dual R^2 x T^2 configurations.

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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. D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The local moduli space of self-dual fractional instantons (Q = r/N) on a twisted four-torus is the Higgs branch of an N=2 supersymmetric theory, obtained via wrapped intersecting D-brane configurations.

  3. Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Numerical lattice study shows fractional instantons on twisted T^4 morph into monopole-instantons and center vortices as geometry interpolates between R^{4-k} x T^k, with some transitions discontinuous under deformation.

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