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arXiv · 2507.16141

On the One-Loop Exactness of Gravity Partition Function

Andres Goya·Mauricio Leston·Mario Passaglia
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Abstract

In a previous work, we showed that the two- and three-loop contributions to the partition function of three-dimensional gravity in flat space vanish. This is in agreement with the expected one-loop exactness dictated by the underlying symmetry at the quantum level. To highlight the distinctive nature of the $D=3$ case, we extend the three-loop computation to arbitrary spacetime dimensions $D$. In higher dimensions, the number of contributions increases substantially, reinforcing the view that one-loop exactness is a unique feature of three-dimensional gravity.

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Andres Goya, Mauricio Leston, Mario Passaglia. 2025-07-22. On the One-Loop Exactness of Gravity Partition Function. https://doi.org/10.1103/r6q6-f79b

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