Spherically symmetric solutions of higher-spin gravity in the IKKT matrix model
Spherically symmetric solutions of higher-spin gravity in the IKKT matrix model
复制标题
IKKT 矩阵模型中高自旋引力的球对称解
DOI：
10.1016/j.nuclphysb.2022.115843
复制
发表时间：
2021
影响因子：
2.8
通讯作者：
H. Steinacker
中科院分区：
文献类型：
--
作者：
Yuhma Asano;H. Steinacker
在半经典协变量子几何的框架下，我们系统地研究了IKKT矩阵模型的球对称真空解。明确地找到了框架运动方程的所有渐近平坦解。它们在更大范围内再现了线性化的Schwarzschild几何，但在非线性水平上偏离了它，并包括了伸缩子和轴子的贡献。在考虑由量子效应引起的爱因斯坦-希尔伯特项之前，它们与在经典矩阵模型中的经典膜解决方案上产生的引力前理论有关。我们还讨论了重构对应于某个给定框架的矩阵构型的问题，并证明了这个问题总是可以在基本的更高自旋理论的几何水平上解决的，而忽略可能的更高自旋模式。
We present a systematic study of spherically symmetric vacuum solutions of the IKKT matrix model, within the framework of semi-classical covariant quantum geometries. All asymptotically flat solutions of the equations of motion of the frame are found explicitly. They reproduce the linearized Schwarzschild geometry for largerbut deviate from it at the non-linear level, and include contributions from dilaton and axion. They are pertinent to the pre-gravity theory arising on classical brane solutions within the classical matrix model, before taking into account the Einstein-Hilbert term induced by quantum effects. We also address the problem of reconstructing matrix configurations corresponding to some given frame, and show that this problem can always be solved at the geometrical level of the underlying higher spin theory, ignoring possible higher spin modes.