2024/08/13 by Guido Franchetti, Franchetti, Guido, Derek Harland +1
Mathematics · Medicine · #53C07 (Primary) 53C26 #70S15 (Secondary) #81T13 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Mathematics and Applications #Soft tissue tumor case studies
paper · pdf · doi:10.48550/arxiv.2408.07145
openalex publication_date 2024/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is well-known that the L2 metric on the moduli space of hyperbolic monopoles, defined using the Coulomb gauge-fixing condition, diverges. This article shows that an alternative gauge-fixing condition inspired by supersymmetry cures this divergence. The resulting geometry is a hyperbolic analogue of the hyperkähler geometry of Euclidean monopole moduli spaces.