### Abstract

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 language | English (US) |
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Pages (from-to) | 604-612 |

Number of pages | 9 |

Journal | Nuclear Physics B |

Volume | 402 |

Issue number | 3 |

DOIs | |

State | Published - Aug 9 1993 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*402*(3), 604-612. https://doi.org/10.1016/0550-3213(93)90120-E

**Supersymmetry and the nonlocal yangian deformation symmetry.** / Curtright, Thomas; Zachos, Cosmas.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 402, no. 3, pp. 604-612. https://doi.org/10.1016/0550-3213(93)90120-E

}

TY - JOUR

T1 - Supersymmetry and the nonlocal yangian deformation symmetry

AU - Curtright, Thomas

AU - Zachos, Cosmas

PY - 1993/8/9

Y1 - 1993/8/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0346298243&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346298243&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(93)90120-E

DO - 10.1016/0550-3213(93)90120-E

M3 - Article

AN - SCOPUS:0346298243

VL - 402

SP - 604

EP - 612

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -