Conformal gravity 1-loop partition function

TL;DR

This paper computes the one-loop partition function of four-dimensional conformal gravity in an AdS_4 background using heat kernel methods, providing thermodynamic insights and comparing with existing literature.

Contribution

It presents a detailed calculation of the 1-loop partition function for conformal gravity in AdS_4, a novel application of heat kernel techniques in this context.

Findings

Derived explicit expressions for thermodynamical quantities.

Compared results with previous studies, confirming consistency.

Enhanced understanding of quantum aspects of conformal gravity.

Abstract

We evaluate the 1-loop partition function of conformal gravity in four dimensions around an $AdS_4$ background, using the heat kernel techniques. We give expressions for the relevant thermodynamical quantities and compare our results with the ones from the literature.