N = 4 supersymmetric Yang-Mills theory on S 3 in the plane wave matrix model at finite temperature
N = 4 supersymmetric Yang-Mills theory on S 3 in the plane wave matrix model at finite temperature
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DOI：
10.1103/physrevd.79.065003
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发表时间：
2008-11
影响因子：
5
通讯作者：
Y. Kitazawa;Koichiro Matsumoto
中科院分区：
文献类型：
--
作者：
Y. Kitazawa;Koichiro Matsumoto
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 $\mathcal{N}=4$ supersymmetric Yang-Mills theory on $\mathbb{R}\ifmmode\times\else\texttimes\fi{}{S}^{3}$ 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 $\mathcal{N}=4$ supersymmetric Yang-Mills theory on ${S}^{3}$ at the 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 $\mathcal{N}=4$ supersymmetric Yang-Mills theory on $\mathbb{R}\ifmmode\times\else\texttimes\fi{}{S}^{3}$.
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 $\mathcal{N}=4$ supersymmetric Yang-Mills theory on $\mathbb{R}\ifmmode\times\else\texttimes\fi{}{S}^{3}$ 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 $\mathcal{N}=4$ supersymmetric Yang-Mills theory on ${S}^{3}$ at the 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 $\mathcal{N}=4$ supersymmetric Yang-Mills theory on $\mathbb{R}\ifmmode\times\else\texttimes\fi{}{S}^{3}$.