Graviton 1-loop partition function for 3-dimensional massive gravity
High Energy Physics - Theory
2011-03-17 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1007.5189,
title = {Graviton 1-loop partition function for 3-dimensional massive gravity},
author = {M. R. Gaberdiel and D. Grumiller and D. Vassilevich},
journal= {arXiv preprint arXiv:1007.5189},
year = {2011}
}
Comments
19 pages, v2: major revision, considerably stronger conclusions, added comparison with LCFT partition function, confirmation of LCFT conjecture, added author