2025/07/22 by Andrés Goya, Goya, Andres, Mauricio Leston +3
Computer Science · #Algorithms and Data Compression #Computational Geometry and Mesh Generation #Data Management and Algorithms #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2507.16141
openalex publication_date 2025/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
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.