イナモト タダシ   Inamoto,Tadashi
  稲本 唯史
   所属   法学部 法律学科
   職種   教授
言語種別 日本語
発行・発表の年月 2002/07
形態種別 大学・研究所等紀要
査読 査読有り
標題 Chiral Wess-Zumino-Witten Models Revisited
執筆形態 単著
掲載誌名 亜細亜大拓短期大学部経営学紀要
出版社・発行元 亜細亜大学短期大学部学術研究所
巻・号・頁 10(1),1-36頁
概要 Several chiral Wess--Zumino--Witten(WZW) models are derived, via a Hamiltonian reduction, from the chiral gauged nonlinear $\sigma$--models on a loop group $\mathit{LG}$ based on a semi simple Lie algebra. The starting point is the cotangent bundle $T^{\ast\!}\mathit{LG}$ equipped with a noncanonical symplectic structure, and the momentum-map constraints are imposed to find the chiral WZW models as reduced theories. The Lagrangian realization is given in the language of gauged nonlinear $\sigma$-models, where the gauged Lagrangian can be systematically constructed once the infinitesimal two-cocycles on the Lie algebra $L\mathcal{G}$ are given. Some generalization including the reduction of the nonchiral WZW model is also suggested. The formalism is developed with an emphasis on the symplectic--geometrical structure of the theory.(掲載誌は日本語であるが、論文は英語である)
ISSN 1340-3230