Vertex Operators in 4D Quantum Gravity Formulated as CFT

Renormalizable 4D Quantum Gravity as A Perturbed Theory from CFT

We study the renormalizable quantum gravity formulated as a perturbed theory from conformal field theory (CFT) on the basis of conformal gravity in four dimensions. The conformal mode in the metric field is managed non-perturbatively without introducing its own coupling constant so that conformal symmetry becomes exact quantum mechanically as a part of diffeomorphism invariance. The traceless t...

AdS/CFT and quantum gravity or What is AdS/CFT?

Topology in 4d Simplicial Quantum Gravity

We simulate 4d simplicial gravity for three topologies S, S S and S S S S and show that the free energy for these three xed topology ensembles is the same in the thermodynamic limit N4 !1. We show, that the next-to-leading order corrections, at least away from the critical point, can be described by kinematic sources.

Scaling Behavior in 4D Simplicial Quantum Gravity

Scaling relations in four-dimensional simplicial quantum gravity are proposed using the concept of the geodesic distance. Based on the analogy of a loop length distribution in the two-dimensional case, the scaling relations of the boundary volume distribution in four dimensions are discussed in three regions: the strong-coupling phase, the critical point and the weak-coupling phase. In each pha...

On the correspondence between gravity fields and CFT operators

It is shown that a nonlinear derivative-dependent transformation of gravity fields changes correlation functions in a boundary CFT, and, therefore, corresponds to a change of a basis of operators in the CFT. It is argued that only non-renormalized structures in correlation functions can be changed by such a field transformation, and that the study of the response of correlation functions to gra...