Meromorphic scaling flow of supersymmetric Yang–Mills with matter

Brian P. Dolan
2006 Nuclear Physics B  
Beta-functions are derived for the flow of N=2 SUSY SU(2) Yang-Mills in 4-dimensions with massless matter multiplets in the fundamental representation of the gauge group. The beta-functions represent the flow of the couplings as the VEV of the Higgs field is lowered and are modular forms of weight -2. They have the correct asymptotic behaviour at both the strong and weak coupling fixed points. Corrections to the massless beta-functions when masses are turned on are discussed.
doi:10.1016/j.nuclphysb.2005.12.027 fatcat:s7grcqnkfnbgzohmomdteyexfq