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.

物理学中最有趣和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。最近提出的四维旋转黑洞和二维共形场论（CFT）之间的全息术是引力物理和黑洞物理中最令人兴奋的发现之一。所提出的旋转黑洞和 CFT 之间的全息对应关系表明，在具有克尔解的任何一致的酉量子引力理论中，黑洞的近地平线量子态可以与某些二维手性 CFT 的量子态识别。黑洞的宏观特性（例如贝肯斯坦-霍金熵）与微观 CFT 量之间的一致性为克尔黑洞与 CFT 之间的对应性提供了强有力的证据。研究计划的长期目标是为旋转黑洞的全息术提供更好的支持并提供更多证据。这项研究计划的成果增强了我们对量子引力中黑洞的理解，并导致量子理论和引力物理学知识的加强和进步。对此，我计划扩展并继续我对旋转黑洞与CFT之间的全息对应关系的研究。此外，我计划扩展我的研究范围，寻找新的超引力解以及与物质场耦合的高维引力理论中的新解，以支持这些理论中旋转黑色物体（例如黑洞或环）的全息术。我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。 - 通过改变旋转黑洞背景中的适当边界作用，找到双 CFT 共形算子的相关函数。 - 研究带电旋转黑洞的总体图像是否存在。 - 旋转黑洞的变形隐藏共角对称的构造。 - 构建与物质场耦合的高维引力理论的新解决方案，以支持旋转黑色物体的全息术。 - 超重力理论新解决方案的构建和研究。该提案的研究目标为建立旋转黑洞的基础全息术提供了额外的证据，并通过共形场论对系统的双重描述增强了我们对黑洞系统的科学理解。这项研究不仅将有助于增进有关黑洞和共形场论的知识，还将产生新颖和创新的技术来构建超引力理论的新解决方案。