The (2+1)-dimensional supersymmetric CPN−1 model and the central charge |
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Authors: | Shogo Aoyama |
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Affiliation: | 1. Istituto di Fisica “Galileo Galilei”, dell''Università di Padova, Padova, Italy;2. Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padova, Italy |
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Abstract: | The supersymmetry algebra is examined for the (2+1)-dimensional supersymmetric CPN?1 model, on the basis of the observation of Witten and Olive in (1+1) and (3+1) dimensions. We then demonstrate that also in this (2+1)-dimensional model the usual supersymmetry algebra is modified by the appearance of the topological numbers of the solitons, which are nothing but the instantons in (1+1) dimensions, as central charges. To obtain the model, we begin by constructing the supersymmetric model in (3+1) dimensions. Then it is reduced to (2+1) dimensions by means of the dimensional reduction technique. We observe that the (2+1)-dimensional supersymmetric CPN?1 model thus obtained admits an O(2) extended supersymmetry. |
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