Kerr黑洞引力波的全息性研究

探讨引力的全息性质将有助于我们更好地理解量子引力。全息对偶作为引力全息原理的具体实现呈现出了引力理论和量子场论之间的深刻联系，是我们研究引力全息性的重要工具。本项目拟以引力波为切入点展开对Kerr黑洞全息性质的研究。从对称性角度来看，Kerr黑洞和卷曲共形场论有着紧密的联系。我们选取卷曲共形场论作为我们主要研究的量子场论，拟建立起它与极端Kerr黑洞近视界几何之间的对偶关系。根据全息对偶，时空中的物理现象和对偶场论中的物理过程有着一一对应的等价关系。我们考察极端Kerr黑洞视界附近因小质量物体做轨道运动而产生的微扰引力波，并研究此类型的引力辐射如何在卷曲共形场论中得以体现。我们希望卷曲共形场论的一些独特的性质如非定域性可以帮助我们揭示出Kerr黑洞引力波的一些新特性。

Exploring the holographic properties of gravity can help to give us a better understanding of quantum gravity. The holographic duality, as a concrete realization of the holographic principle of gravity, presents a profound connection between gravitational theory and quantum field theory. It is an essential tool for us to study the holographic nature of gravity. This project intends to investigate the holographic properties of Kerr black hole from the aspect of gravitational waves. According to the symmetry, warped conformal field theories are closely related to the Kerr black hole. We take warped conformal field theory as our main research quantum field theory, and intend to establish the holographic duality between this field theory and the near horizon geometry of extreme Kerr black hole. Under holographic duality, there is a one to one correspondence of physical quantities between the bulk gravity and the boundary dual field theory. We will investigate the perturbed gravitational waves generated by an orbital motion of a small massive object near the horizon of extreme Kerr black hole, and compute the gravitation radiation in the dual warped conformal field theory. We hope that the unique nature of warped conformal field theory, such as non-locality, can help us to reveal some new features of gravitational waves from Kerr black hole.