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arXiv 0811.0529hep-th
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有限温度下平面波矩阵模型中S^3上N=4超对称Yang-Mills

N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature

Yoshihisa Kitazawa, Koichiro Matsumoto

备注：
31pages: added comments and references
发表信息：
Phys.Rev.D79:065003,2009
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摘要：

通过平面波矩阵模型研究了弯曲时空中规范理论的大N约化模型。在大N极限下，我们从平面波矩阵模型正式推导出N=4超对称杨-米尔斯理论对R \times S ^3的作用量。此外，我们评估的有效行动的平面波矩阵模型的两个回路的水平在有限的温度。我们发现，在平面贡献占主导地位的高温极限下，有效作用量与S^3上N=4超对称杨-米尔斯理论的自由能是一致的。我们得出结论，平面波矩阵模型可以作为一个大N约化模型来研究R \times S ^[3]上N=4超对称杨-米尔斯理论的非微扰性质。

英文摘要：

We investigate the large N reduced model of gauge theory on a curved spacetime through the plane wave matrix model. We formally derive the action of the N=4 supersymmetric Yang-Mills theory on R \times S^3 from the plane wave matrix model in the large N limit. Furthermore, we evaluate the effective action of the plane wave matrix model up to the two-loop level at finite temperature. We find that the effective action is consistent with the free energy of the N=4 supersymmetric Yang-Mills theory on S^3 at high temperature limit where the planar contributions dominate. We conclude that the plane wave matrix model can be used as a large N reduced model to investigate nonperturbative aspects of the N=4 supersymmetric Yang-Mills theory on R \times S^3.

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