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Main Authors: Goya, Andres, Leston, Mauricio, Passaglia, Mario
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.16141
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author Goya, Andres
Leston, Mauricio
Passaglia, Mario
author_facet Goya, Andres
Leston, Mauricio
Passaglia, Mario
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16141
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the One-Loop Exactness of Gravity Partition Function
Goya, Andres
Leston, Mauricio
Passaglia, Mario
High Energy Physics - Theory
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.
title On the One-Loop Exactness of Gravity Partition Function
topic High Energy Physics - Theory
url https://arxiv.org/abs/2507.16141