Generalised massive gravity one-loop partition function and AdS/(L)CFT
arXiv:1103.5468 · doi:10.1007/JHEP06(2011)111
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).
25 p., 2 jpg figs, v2: added 6 lines of clarifying text after Eq. (2.38)
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- On one-loop partition functions of three-dimensional critical gravities