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