Graviton 1-loop partition function for 3-dimensional massive gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, v2: major revision, considerably stronger conclusions, added comparison with LCFT partition function, confirmation o

Scientific paper

10.1007/JHEP11(2010)094

The graviton 1-loop partition function in Euclidean topologically massive gravity (TMG) is calculated using heat kernel techniques. The partition function does not factorize holomorphically, and at the chiral point it has the structure expected from a logarithmic conformal field theory. This gives strong evidence for the proposal that the dual conformal field theory to TMG at the chiral point is indeed logarithmic. We also generalize our results to new massive gravity.

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