Generalised massive gravity one-loop partition function and AdS/(L)CFT
Mar, 2011
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Abstract: (arXiv)
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).Note:
- 25 p., 2 jpg figs, v2: added 6 lines of clarifying text after Eq. (2.38)
- AdS-CFT Correspondence
- Models of Quantum Gravity
- Field Theories in Lower Dimensions
- Chern-Simons Theories
- gravitation: massive
- anti-de Sitter: heat kernel
- higher-order: 1
- Chern-Simons term
- AdS/CFT correspondence
- gravitation: partition function
References(35)
Figures(2)