TY - JOUR

T1 - Supersymmetry and the nonlocal yangian deformation symmetry

AU - Curtright, Thomas

AU - Zachos, Cosmas

N1 - Funding Information:
Work supported by the NSF grant PHY-92-09978 (Email: tcurtright@umiami). 2 Work supported by the U.S. Department of Energy, Division of High Energy Physics, Contract W-31-109-ENG-38 (Email: zachos~jhep.anl.gov). * M. Forger informs us that M. LOscher has known about the Lorentz-noninvariance of the lowest nonlocal charge for a decade (unpublished).

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.

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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 -