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Supersymmetry and the Nonlocal Yangian Deformation Symmetry | | T. Curtright
; C. Zachos
; | | Date: |
10 Oct 1992 | | Journal: | Nucl.Phys. B402 (1993) 604-612 | | Subject: | hep-th | | Abstract: | In the quantized two-dimensional non-linear supersymmetric $sigma$-model, the supercurrent supermultiplet, which contains the energy-momentum tensor, is transformed by the nonlocal symmetry of the model into the isospin current supermultiplet. This effect incorporates supersymmetry into the known infinite-dimensional Yangian deformation symmetry of plain $sigma$-models, leads to precisely the same nontrivial extension of the two-dimensional super-Poincaré group as found previously for the Poincaré group, and thus determines the theory’s mass spectrum. A generalization to all higher-order nonlocal charges is conjectured such that their generating function, the so-called ``master charge’’, has a definite Lorentz spin which depends on the spectral parameter. | | Source: | arXiv, hep-th/9210060 | | Services: | Forum | Review | PDF | Favorites | |
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