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arXiv · hep-th/9210060

Supersymmetry and the Nonlocal Yangian Deformation Symmetry

T. Curtright·C. Zachos
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Abstract

In the quantized two-dimensional non-linear supersymmetric $σ$-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 $σ$-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.

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T. Curtright, C. Zachos. 1992-10-15. Supersymmetry and the Nonlocal Yangian Deformation Symmetry. https://doi.org/10.1016/0550-3213(93)90120-e

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