On the existence of the NS5-brane limit of the plane wave matrix model
On the existence of the NS5-brane limit of the plane wave matrix model
复制标题
平面波矩阵模型NS5膜极限的存在性
DOI：
10.1093/ptep/ptad042
复制
发表时间：
2023
影响因子：
3.5
通讯作者：
Watanabe Hiromasa
中科院分区：
文献类型：
--
作者：
Asano Yuhma;Ishiki Goro;Matsumoto Takaki;Shimasaki Shinji;Watanabe Hiromasa
本文考虑了平面波矩阵模型的双尺度极限，在这种极限下，平面波矩阵模型的引力对偶几何化为一类球面NS 5-膜解。我们确定的形式的缩放限制的双重几何的PWMM周围的一般真空，然后翻译成场论语言的限制。我们还表明，该限制确实存在至少在一定的平面四分之一BPS部门的PWMM通过使用本地化计算解析。此外，我们采用混合蒙特卡罗方法计算的矩阵积分的局部化方法，在参数区域附近的超引力近似是有效的。我们的数值计算结果，这被认为是第一次计算的量子圈修正的Lin-Maldacena几何，表明双标度极限存在超出平面部门。
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 field-theoretic language. We also show that the limit indeed exists at least in a certain planar quarter-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 a quantum loop correction to the Lin–Maldacena geometry, suggest that the double scaling limit exists beyond the planar sector.