On one-loop partition functions of three-dimensional critical gravities
Abstract
We calculate the gravity one-loop partition function of three-dimensional parity even tricritical gravity. Agreement with logarithmic conformal field theory single-particle partition functions on the field theory side is found and we furthermore discover a partially massless limit of linearized six-derivative parity even gravity. Then we define a "truncation" of the critical theory, at the level of the partition function, by calculating black hole determinants via summation over quasi-normal mode spectra and discriminating against those modes which are not present in the physical spectrum. This "truncation" is applied to critical new massive gravity and three-dimensional parity even tricritical gravity.
Keywords
Cite
@article{arxiv.1210.6887,
title = {On one-loop partition functions of three-dimensional critical gravities},
author = {Thomas Zojer},
journal= {arXiv preprint arXiv:1210.6887},
year = {2013}
}
Comments
16 pages; v2: corrected mistake and changed discussion/presentation of section 3, conclusions unaltered; published version