English

Generalised massive gravity one-loop partition function and AdS/(L)CFT

High Energy Physics - Theory 2011-06-28 v2 General Relativity and Quantum Cosmology

Abstract

The graviton 1-loop partition function is calculated for Euclidean generalised massive gravity (GMG) using AdS heat kernel techniques. We find that the results fit perfectly into the AdS/(L)CFT picture. Conformal Chern-Simons gravity, a singular limit of GMG, leads to an additional contribution in the 1-loop determinant from the conformal ghost. We show that this contribution has a nice interpretation on the conformal field theory side in terms of a semi-classical null vector at level two descending from a primary with conformal weights (3/2,-1/2).

Keywords

Cite

@article{arxiv.1103.5468,
  title  = {Generalised massive gravity one-loop partition function and AdS/(L)CFT},
  author = {Mario Bertin and Daniel Grumiller and Dmitri Vassilevich and Thomas Zojer},
  journal= {arXiv preprint arXiv:1103.5468},
  year   = {2011}
}

Comments

25 p., 2 jpg figs, v2: added 6 lines of clarifying text after Eq. (2.38)

R2 v1 2026-06-21T17:45:52.199Z