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Prog. Theor. Phys. Vol. 63 No. 5 (1980) pp. 1827-1830
Letters
Hopf Fibrations of the Sphere-Constraints in the Non-Linear σ Models
Masatsugu Minami
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606
(Received November 21, 1979)
Abstract:
We show that it is the Hopf maps that connect the fields in the (CP1)2 and (HP1)4 models with those of the non-linear σ-models, as anticipated from the fact that S2 and S4, which constrain the fields of the σ-models, are homeomorphs of CP1 and HP1 respectively.
URL :
http://ptp.ipap.jp/link?PTP/63/1827/
DOI : 10.1143/PTP.63.1827
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