Supersymmetry and the nonlocal yangian deformation symmetry

Thomas Curtright, Cosmas Zachos

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


In the quantized two-dimensional nonlinear 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.

Original languageEnglish (US)
Pages (from-to)604-612
Number of pages9
JournalNuclear Physics, Section B
Issue number3
StatePublished - Aug 9 1993

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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