1210.6887 (Thomas Zojer)

On gravity one-loop partition functions of three-dimensional critical
gravities    [PDF]

Thomas Zojer

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.

View original: http://arxiv.org/abs/1210.6887