AdS6中拓扑黑洞的保角重整化

IF 5 1区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Giorgos Anastasiou, Ignacio J. Araya, Cristóbal Corral, Rodrigo Olea
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引用次数: 1

摘要

摘要给出了一个流线证明,证明任何Einstein-AdS空间都是Lu、Pang和Pope共形引力理论在六维中的解。将共形引力简化到爱因斯坦理论中清楚地表明,后者的作用可以写成爱因斯坦-希尔伯特项加上欧拉拓扑密度和依赖于体Weyl张量平方的拉普拉斯量的附加贡献。通过将爱因斯坦理论嵌入到一个weyl不变的纯度量理论中来获得这种形式的作用的处方被称为保形重整化,其结果的作用被证明与全息重整化获得的作用等效。作为该方法的一个非平凡应用,我们在Einstein-AdS 6理论中计算了具有一般横截面的拓扑黑洞解的Noether-Wald电荷和热力学量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Conformal Renormalization of topological black holes in AdS6
Abstract We present a streamlined proof that any Einstein-AdS space is a solution of the Lu, Pang and Pope conformal gravity theory in six dimensions. The reduction of conformal gravity into Einstein theory manifestly shows that the action of the latter can be written as the Einstein-Hilbert term plus the Euler topological density and an additional contribution that depends on the Laplacian of the bulk Weyl tensor squared. The prescription for obtaining this form of the action by embedding the Einstein theory into a Weyl-invariant purely metric theory, was dubbed Conformal Renormalization and its resulting action was shown to be equivalent to the one obtained by holographic renormalization. As a non-trivial application of the method, we compute the Noether-Wald charges and thermodynamic quantities for topological black hole solutions with generic transverse section in Einstein-AdS 6 theory.
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-
CiteScore
10.00
自引率
46.30%
发文量
2107
审稿时长
12 weeks
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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