Holography for rotating black holes and supergravity solutions

旋转黑洞的全息术和超重力解决方案

• 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: 2019
• 资助国家: 加拿大
• 起止时间: 2019-01-01 至 2020-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=678716
• 关键词: Holography; rotating; black; holes; supergravity

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用量子理论中的一致模型来描述引力。最近提出的四维旋转黑洞与二维共形场论(CFT)之间的全息成像是引力物理和黑洞物理学中最令人兴奋的发现之一。*旋转黑洞与CFT之间的全息对应表明，在任何具有克尔解的一致么正引力量子理论中，黑洞的近视界量子态都可以与某个二维手征CFT的量子态相一致。黑洞的宏观性质，如Bekenstein-Hawking熵和微观CFT量之间的一致性，为Kerr黑洞和CFT之间的对应提供了强有力的证据。*研究提案的长期目标是为支持旋转黑洞的全息照相提供更好的支持和更多的证据。这一研究方案的成果加深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知识的加强和进步。在这方面，我计划扩大和继续我对旋转黑洞和CFT之间的全息对应的研究。此外，我计划扩展我的研究，寻找新的超引力解，以及在与物质场耦合的高维引力理论中寻找新的解，以支持这些理论中旋转的黑色物体(如黑洞或环)的全息术。*我建议的短期目标包括六个主题：*-研究双CFT对旋转黑洞的唯象后果。*-在旋转黑洞的背景下，通过改变适当的边界作用，求出对偶CFT的共形算符的关联函数。*-研究带电旋转黑洞的一般图像的存在性。*-构造旋转黑洞的形变隐共形对称性。*-构造与物质场耦合的高维引力理论的新解，以支持旋转黑洞的全息。*-构造和研究超引力理论的新解。*本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提高对黑洞和保形场理论的认识，而且还将产生新的创新技术来构建超引力理论的新解。********