S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills

S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
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N=4 SUSY Yang-Mills 边缘变形的 S 对偶性、解构和约束

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发表时间:
2003
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通讯作者:
N. Dorey
N. Dorey
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作者:
N. Dorey

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本文利用场论和弦论方法研究了U(N)规范群= 4超对称Yang-Mills系统的精确边缘形变。经典理论有一个希格斯分支的合理值的变形参数。我们认为,量子理论也有一个S-对偶限制分支,这是不能看到的经典。这些分支上的低能有效理论是一个具有16个超荷的6维非对易规范理论。在低能理论中,由于BPS饱和弦的形成,磁荷和电荷分别被限制在希格斯粒子和限制分支上。这些结果也提出了一种新的方法,解构小弦理论作为一个大N限制规范理论在四维。
We study an exactly marginal deformation of = 4 SUSY Yang-Mills with gauge group U(N) using field theory and string theory methods. The classical theory has a Higgs branch for rational values of the deformation parameter. We argue that the quantum theory also has an S-dual confining branch which cannot be seen classically. The low-energy effective theory on these branches is a six-dimensional non-commutative gauge theory with sixteen supercharges. Confinement of magnetic and electric charges, on the Higgs and confining branches respectively, occurs due to the formation of BPS-saturated strings in the low energy theory. The results also suggest a new way of deconstructing Little String Theory as a large-N limit of a confining gauge theory in four dimensions.