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arXiv 0904.2328hep-th
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麦克斯韦磁场下的全息规范理论

Holographic Gauge Theory with Maxwell Magnetic Field

Wung-Hong Huang

摘要:

我们首先将包裹坐标的混合方位角变换应用到11维M-理论中,在Kaluza-Klein约化后,得到了10维IIA弦论中N个M5-膜的叠加和磁场的时空.在近地平线极限,背景变成梅尔文磁场变形$AdS_6 \times S^4$。虽然这个解代表了梅尔文RR一元形式下的D-膜,但我们用一个简单的观察可以看出,它也描述了麦克斯韦磁场下的D-膜的解。由于我们考虑的磁场是背景本身的一部分,我们提出了一种替代以前的文献,因为我们的方法不需要假设可以忽略的反作用。接着,我们利用所得到的解通过D4/D8系统(Sakai-Sugimoto模型)研究了介子的性质,并与其他作者的研究结果进行了比较。最后,我们对其中的威尔逊圈进行了详细的分析,结果表明,外加Maxwell磁场会增强夸克-反夸克势。

英文摘要:

We first apply the transformation of mixing azimuthal with wrapped coordinate to the 11D M-theory with a stack N M5-branes to find the spacetime of a stack of N D4-branes with magnetic field in 10D IIA string theory, after the Kaluza-Klein reduction. In the near-horizon limit the background becomes the Melvin magnetic field deformed $AdS_6 \times S^4$. Although the solution represents the D-branes under the Melvin RR one-form we use a simple observation to see that it also describes the solution of D-branes under the Maxwell magnetic field. As the magnetic field we consider is the part of the background itself we have presented an alternative to previous literature, because our method does not require the assumption of negligible back reaction. Next, we use the found solution to investigate the meson property through D4/D8 system (Sakai-Sugimoto model) and compare it with those studied by other authors. Finally, we present a detailed analysis about the Wilson loop therein and results show that the external Maxwell magnetic field will enhance the quark-antiquark potential.

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