1995/04/20 by Ulf H. Danielsson, Bo Sundborg · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Braid #Dimension (graph theory) #Group (periodic table) #Limit (mathematics) #Moduli #Moduli space #Monodromy #Quantum Chromodynamics and Particle Interactions #Rank (graph theory) #Space (punctuation) #hep-th
paper · pdf · doi:10.1016/0370-2693(95)01010-n
published as Phys.Lett. B358 (1995) 273-280 · Latex, 12 pages, three tarred, compressed and uuencoded figures
arxiv created 1995/04/20 · openalex publication_date 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We write down the weak-coupling limit of N=2 supersymmetric Yang-Mills theory with arbitrary gauge group \( G \). We find the weak-coupling monodromies represented in terms of \( Sp(2r,\bzeta ) \) matrices depending on paths closed up to Weyl transformations in the Cartan space of complex dimension r, the rank of the group. There is a one to one relation between Weyl orbits of these paths and elements of a generalized braid group defined from \( G \). We check that these weak-coupling monodromies behave correctly in limits of the moduli space corresponding to restrictions to subgroups. In the case of SO(2r+1) we write down the complex curve representing the solution of the theory. We show that the curve has the correct monodromies.