1996/12/27 by Takahiro Masuda, Hisao Suzuki
Physics and Astronomy · #Beta function (physics) #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Field (mathematics) #Fixed point #Particle physics theoretical and experimental studies #Point (geometry) #Primary field #Quantum Chromodynamics and Particle Interactions #Representation (politics) #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00199-5
published as Nucl.Phys. B495 (1997) 149-171 · 25 pages, LaTeX
arxiv created 1996/12/27 · openalex publication_date 1997/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show how to give the expression for periods, Higgs field and its dual of N=2 supersymmetric Yang-Mills theory around the conformal point. This is achieved by evaluating the integral representation in the weak coupling region, and by using analytic continuation to the conformal point. The explicit representation is shown for the SU(2) theory with matter fields and also for pure SU(N) and pure SO(2N) theory around the conformal point where the relation to the beta function of the theory is clarified. We also discuss a relation between the fixed points in the SU(2) theories with matter fields and the Landau-Ginzburg point of 2-D N=2 SCFT.