Quantum Gravity on dS3
نویسندگان
چکیده
We study quantum gravity on dS3 using the Chern-Simons formulation of threedimensional gravity. We derive an exact expression for the partition function for quantum gravity on dS3 in a Euclidean path integral approach. We show that the topology of the space relevant for studying de Sitter entropy is a solid torus. The quantum fluctuations of de Sitter space are sectors of configurations of point masses taking a discrete set of values. The partition function gives the correct semi-classical entropy. The sub-leading correction to the entropy is logarithmic in horizon area, with a coefficient −1. We discuss this correction in detail, and show that the sub-leading correction to the entropy from the dS/CFT correspondence agrees with our result. A comparison with the corresponding results for the AdS3 BTZ black hole is also presented. PACS No.: 04.60.-m, 04.60.Kz, 04.70.Dy e-mail : [email protected] e-mail : [email protected] e-mail: [email protected] 1
منابع مشابه
De Sitter Gravity and Liouville Theory
We show that the spectrum of conical defects in three-dimensional de Sitter space is in one-toone correspondence with the spectrum of vertex operators in Liouville conformal field theory. The classical conformal dimensions of vertex operators are equal to the masses of the classical point particles in dS3, that cause the conical defect. The quantum dimensions instead are shown to coincide with ...
متن کاملThe dS/CFT Correspondence
A holographic duality is proposed relating quantum gravity on dSD (D-dimensional de Sitter space) to conformal field theory on a single S ((D-1)-sphere), in which bulk de Sitter correlators with points on the boundary are related to CFT correlators on the sphere, and points on I+ (the future boundary of dSD) are mapped to the antipodal points on S relative to those on I−. For the case of dS3, w...
متن کاملSome Aspects of the de Sitter/CFT Correspondence
We discuss several aspects of the proposed correspondence between quantum gravity on de Sitter spaces and Euclidean conformal field theories. The central charge appearing in the asymptotic symmetry algebra of three-dimensional de Sitter space is derived both from the conformal anomaly and the transformation law of the CFT stress tensor when going from dS3 in planar coordinates to dS3 with cosmo...
متن کاملThe Asymptotic Dynamics of de Sitter Gravity in three Dimensions
We show that the asymptotic dynamics of three-dimensional gravity with positive cosmological constant is described by Euclidean Liouville theory. This provides an explicit example of a correspondence between de Sitter gravity and conformal field theories. In the case at hand, this correspondence is established by formulating Einstein gravity with positive cosmological constant in three dimensio...
متن کاملFunctional Studies of CCAAT/Enhancer Binding Protein Site Located Downstream of the Transcriptional Start Site
Previous studies have identified a CCAAT/enhancer binding protein (C/EBP) site located downstream of the transcriptional start site (DS3). The role of the DS3 element with respect to HIV-1 transactivation by Tat and viral replication has not been characterized. We have demonstrated that DS3 was a functional C/EBPβ binding site and mutation of this site to the C/EBP knockout DS3-9C variant showe...
متن کامل