The Higgs Branch of Impurity Theories
The Higgs Branch of Impurity Theories
复制标题
杂质理论的希格斯分支
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
S. Sethi
中科院分区：
文献类型：
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作者：
A. Kapustin;S. Sethi
我们考虑具有不同维度杂质的超对称规范理论。这些系统产生于交叉膜的研究中。与传统的规范理论不同，杂质理论的希格斯分支可以具有紧凑的方向。对于具有8个超荷的模型，希格斯分支是由某些微分方程解的模空间给出的超Kahler流形。这些方程是具有由杂质决定的边界条件的自对偶方程的降维。它们也可以解释为环面紧空间上自对偶方程的Nahm变换。我们讨论了我们的结果在杨-米尔斯理论的光锥形式和某些N=2d=4规范理论的解中的应用。
We consider supersymmetric gauge theories with impurities in various dimensions. These systems arise in the study of intersecting branes. Unlike conventional gauge theories, the Higgs branch of an impurity theory can have compact directions. For models with eight supercharges, the Higgs branch is a hyperKahler manifold given by the moduli space of solutions of certain differential equations. These equations are the dimensional reductions of self-duality equations with boundary conditions determined by the impurities. They can also be interpreted as Nahm transforms of self-duality equations on toroidally compactified spaces. We discuss the application of our results to the light-cone formulation of Yang-Mills theories and to the solution of certain N=2 d=4 gauge theories.