2024-03-28T14:37:55Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/514032022-11-17T02:08:08Zhdl_2115_20136hdl_2115_20124Periods, Higgs Fields and Prepotentials in N=2 Supersymmetric Yang-Mills TheoryN=2超対称ヤンミルズ理論における周期、ヒッグス場とプレポテンシャルMasuda, Takahiro400We 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 explicitly, and by using analytic continuation to the conformal point. We review our previous results to see how effectively the technique to evaluate the integral work, and how the analytic continuation to realize 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. Similar calculation can be carried out in the SU(3) tiheory with matter fields. We also discuss a relation between the fixed points in the SU(2) theories with massless matter fields and the Landau-Ginzburg point of 2-D N=2 SCFT.49p.北海道大学. 博士(理学)Hokkaido UniversityThesis or Dissertationapplication/pdfhttp://hdl.handle.net/2115/51403info:doi/10.11501/3122173https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/51403/1/000000307364.pdf1997-03-25engpublisher10101甲第4015号1997-03-25博士(理学)北海道大学