Lovrekovic, I. (2016). One loop partition function of six dimensional conformal gravity using heat kernel on AdS. Journal of High Energy Physics, 2016(10), Article 64. https://doi.org/10.1007/JHEP10(2016)064
Anomalies in Field and String Theories; Conformal and W Symmetry; Models of Quantum Gravity
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Abstract:
We compute the heat kernel for the Laplacians of symmetric transverse traceless fields of arbitrary spin on the AdS background in even number of dimensions using the group theoretic approach introduced in [1] and apply it on the partition function of six dimensional conformal gravity. The obtained partition function consists of the Einstein gravity, conformal ghost and two modes that contain mass.
