Holography for rotating black holes and supergravity solutions

旋转黑洞的全息术和超重力解决方案

基本信息

批准号：
RGPIN-2016-06797
负责人：
Ghezelbash, AmirMasoud
金额：
$ 1.6万
依托单位：
University of Saskatchewan
依托单位国家：
加拿大
项目类别：
Discovery Grants Program - Individual
财政年份：
2020
资助国家：
加拿大
起止时间：
2020-01-01 至 2021-12-31
项目状态：
已结题

来源：
https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=710395
关键词：
Holography rotating black holes supergravity

项目摘要

One of the most interesting and important open questions in physics is describing the force of gravity by a consistent model in quantum theory. The recently proposed holography between a four-dimensional rotating black hole and a two-dimensional conformal field theory (CFT) is one of the most exciting discoveries in gravitational physics and black hole physics. The proposed holographic correspondence between rotating black holes and CFT, states that in any consistent unitary quantum theory of gravity with a Kerr solution, the near horizon quantum states of the black hole can be identified with those of a certain two-dimensional chiral CFT. The agreement between the macroscopic properties of the black hole such as the Bekenstein-Hawking entropy and the microscopic CFT quantities provides strong evidences in favour of correspondence between the Kerr black hole and CFT. The long-term objective of research proposal is to provide better support and contribute additional evidence in favour of holography for the rotating black holes. The outcome of this research proposal enhances our understanding of black holes in quantum gravity and leads to strengthening and advancement of knowledge in quantum theory and gravitational physics. In this regard, I plan to extend and continue my research on the holographic correspondence between rotating black holes and CFT. Moreover I plan to extend my research on finding new supergravity solutions as well as new solutions in higher-dimensional gravitational theories coupled to the matter fields to support the holography for the rotating black objects (such as black holes or rings) in these theories. The short-term objectives of my proposal consist of six topics: - Investigation about the phenomenological consequences of dual CFT to the rotating black holes. - Finding the correlation functions for the conformal operators of dual CFT by varying an appropriate boundary action in the background of rotating black holes. - Investigation about the existence of general picture for the charged rotating black holes. - Construction of the deformed hidden conformal symmetry for rotating black holes. - Construction of new solutions to higher dimensional gravitational theories coupled to the matter fields to support the holography for the rotating black objects. - Construction and study of new solutions to supergravity theories. The research objectives in this proposal provide additional evidence to establish the foundational holography for the rotating black holes and enhance our scientific understanding of the system of black holes through the dual description of system by conformal field theory. This research will not only contribute to advancement of knowledge about black holes and conformal field theories, but will also produce novel and innovative techniques to construct new solutions in supergravity theories.

物理学中最有趣，最重要的开放问题之一是通过量子理论中的一致模型来描述重力的力量。最近提出的四维旋转黑洞与二维形成共形场理论（CFT）之间的全息图是引力物理学和黑洞物理学中最令人兴奋的发现之一。旋转的黑洞和CFT之间提出的全息相应性指出，在与Kerr溶液的任何一致的统一量子理论中，可以通过特定二维手ral CFT的近地平线量子状态识别黑洞的近地平线量子状态。黑洞的宏观特性（例如Bekenstein-Hawking熵）与微观CFT数量之间的一致性提供了强有力的证据，有利于Kerr Black Hole和CFT之间的对应关系。研究建议的长期目标是提供更好的支持，并为旋转黑洞全息提供更多证据。这项研究建议的结果增强了我们对量子重力中黑洞的理解，并导致量子理论和重力物理学中知识的增强和进步。在这方面，我计划扩展并继续研究旋转黑洞和CFT之间的全息相应。此外，我计划扩展有关在这些理论中为旋转黑色物体（例如黑洞或戒指）的全息图耦合的高维重力理论中的新的超级解决方案以及新的解决方案的研究。我的提案的短期目标包括六个主题： - 研究双CFT对旋转黑洞的现象学后果。 - 通过在旋转黑洞的背景中改变适当的边界作用，从而找到双CFT的保形操作员的相关函数。 - 调查有关带电的旋转黑洞的一般图像的研究。 - 用于旋转黑洞的变形隐藏对称性对称性。 - 建立新的解决方案，以与物质场相连，以支持旋转黑色物体的全息图。 - 对超级理论的新解决方案的构建和研究。该提案中的研究目标提供了其他证据，以建立旋转黑洞的基础全息图，并通过保形场理论对系统的双重描述增强我们对黑洞系统的科学理解。这项研究不仅有助于促进有关黑洞和形成野外理论的知识的发展，而且还将生成新颖和创新的技术来在超级理论中构建新的解决方案。