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arXiv · 1210.6887

On one-loop partition functions of three-dimensional critical gravities

Thomas Zojer
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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.

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Thomas Zojer. 2013-03-05. On one-loop partition functions of three-dimensional critical gravities. https://doi.org/10.1088/0264-9381%2F30%2F7%2F075005

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