论文标题
关于平面波矩阵模型的NS5-Brane极限的存在
On the existence of the NS5-brane limit of the plane wave matrix model
论文作者
论文摘要
我们考虑了平面波矩阵模型（PWMM）的双缩放限，其中PWMM的重力双几何形状还原为一类球形NS5-Brane溶液。我们确定PWMM围绕一般真空的双重几何形状的缩放限制的形式，然后将极限转化为现场理论语言。我们还表明，通过分析使用本地化计算，至少在PWMM的特定平面1/4-BPS领域中确实存在极限。此外，我们采用混合蒙特卡洛法来计算通过定位方法获得的矩阵积分，附近的参数区域，其中超级近似是有效的。我们的数值结果被认为是对Lin-Maldacena几何形状进行量子环校正的首次计算，这表明双缩放极限在平面扇区之外存在。
We consider a double scaling limit of the plane wave matrix model (PWMM), in which the gravity dual geometry of PWMM reduces to a class of spherical NS5-brane solutions. We identify the form of the scaling limit for the dual geometry of PWMM around a general vacuum and then translate the limit into the field theoretic language. We also show that the limit indeed exists at least in a certain planar 1/4-BPS sector of PWMM by using the localization computation analytically. In addition, we employ the hybrid Monte Carlo method to compute the matrix integral obtained by the localization method, near the parameter region where the supergravity approximation is valid. Our numerical results, which are considered to be the first computation of quantum loop correction to the Lin-Maldacena geometry, suggest that the double scaling limit exists beyond the planar sector.
