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

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

2011-03-28

arxiv.org/abs/1103.5468v2

JHEP 1106:111,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/JHEP06(2011)111

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).

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