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arxiv: 1105.3969 · v1 · submitted 2011-05-19 · ✦ hep-th · hep-lat· hep-ph

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Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected

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classification ✦ hep-th hep-lathep-ph
keywords confinementtheorybionconnectedcontinuouslyfour-dimensionallargemagnetic
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We study four-dimensional N=2 supersymmetric pure-gauge (Seiberg-Witten) theory and its N=1 mass perturbation by using compactification S**1 x R**3. It is well known that on R**4 (or at large S**1) the perturbed theory realizes confinement through monopole or dyon condensation. At small S**1, we demonstrate that confinement is induced by a generalization of Polyakov's three-dimensional instanton mechanism to a locally four-dimensional theory - the magnetic bion 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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  1. Perturbative Coulomb branches on $\mathbb{R}^3\times S^1$: the global D-term potential

    hep-th 2026-04 unverdicted novelty 6.0

    A global perturbative potential for the Coulomb branch is derived via zeta regularization of D-terms from KK modes in R^3 x S^1 compactifications of 4d N=1 theories.