Supersymmetry and the Nonlocal Yangian Deformation Symmetry

Details Supersymmetry and the Nonlocal Yangian Deformation Symmetry Supersymmetry and the Nonlocal Yangian Deformation Symmetry

1992-10-10

arxiv.org/abs/hep-th/9210060v2

Nucl.Phys.B402:604-612,1993

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex, (completion of refs and reformatting)

Scientific paper

10.1016/0550-3213(93)90120-E

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-Poincar\'e group as found previously for the Poincar\'e 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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