Abstract
We study four-dimensional \( \mathcal{N} = 2 \) supersymmetricpure-gauge (Seiberg-Witten) theory and its \( \mathcal{N} = 1 \) mass perturbation by using compactification on \( {\mathbb{S}^1} \times {\mathbb{R}^3} \). It is well known that on \( {\mathbb{R}^4} \) (or at large \( {\mathbb{S}^1} \) size L) the perturbed theory realizes confinement through monopole or dyon condensation. At small \( {\mathbb{S}^1} \), we demonstrate that confinement is induced by a generalization of Polyakov’s three-dimensional instanton mechanism to a locally four-dimensionaltheory — the magneticbion mechanism — which also applies to a large class of nonsupersymmetric theories. Using a large-vs. small-L Poisson duality, we show that the two mechanisms of confinement, previously thought to be distinct, are in fact continuously connected.
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ArXiv ePrint:1105.3969
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Poppitz, E., Ünsal, M. Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected. J. High Energ. Phys. 2011, 82 (2011). https://doi.org/10.1007/JHEP07(2011)082
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DOI: https://doi.org/10.1007/JHEP07(2011)082