Seiberg-Witten和“Polyakov样”磁生物约束是连续连接的
Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected
摘要:
利用紧化方法S**1 × R**3研究了四维N=2超对称纯规范(Seiberg-Witten)理论及其N=1质量微扰.众所周知,在R**4上(或在S**1上),微扰理论通过双介子或双子凝聚来实现禁闭。在小S**1,我们证明了禁闭是由Polyakov的三维瞬子机制的推广到一个局部四维理论-磁bion机制-这也适用于一个大类的非超对称理论。使用一个大与小L泊松对偶,我们表明,这两种机制的限制,以前被认为是不同的,实际上是连续连接。
英文摘要:
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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