2025/02/19 by Roman Mauch, Mauch, Roman, Lorenzo Ruggeri +1 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2502.13611
openalex publication_date 2025/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study U(N) SYM theories on spaces with orbifold singularities via an equivalent description in terms of gauge theories on smooth manifolds with insertions of Gukov-Witten and twist defects. The combined effect of the defects is to render the fields multivalued with respect to rotations around the support of the defects. This motivates a relation with theories on branched covers, for which the multivaluedness has a geometric interpretation. We compute the partition function of the theory with defects on a patch and use it as a building block to compute partition functions on several closed spaces with conical singularities.