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

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作者
Mario Bertin
Daniel Grumiller
Dmitri Vassilevich
Thomas Zojer
机构
[1] CMCC,Institute for Theoretical Physics
[2] Universidade Federal do ABC,Department of Theoretical Physics
[3] Vienna University of Technology,undefined
[4] St Petersburg State University,undefined
关键词
AdS-CFT Correspondence; Models of Quantum Gravity; Field Theories in Lower Dimensions; Chern-Simons Theories;
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摘要
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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