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Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models

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Abstract

Using a superspace approach, it is proved that aN=1 Super-Toda theory can be seen as a constrained WZW model based on a supergroup. The gauge transformations which survive the constraints are then usedà la Drinfeld Sokolov to determine explicity the super-W algebra underlying this theory. The conformal spin content of any such super-Walgebra is provided in the general case.

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Authors and Affiliations

  1. Laboratoire de Physique Theorique, ENS Lyon, 46 Allée d'Italie, F-69364, Lyon Cedex 07, France

    F. Delduc & P. Sorba

  2. Laboratoire de Physique Théorique, LAPP, Chemin de Bellevue, BP 110, F-74941, Annecy-le-Vieux Cedex, France

    E. Ragoucy & P. Sorba

Authors
  1. F. Delduc
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  2. E. Ragoucy
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  3. P. Sorba
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Communicated by J. Fröhlich

URA 14-36 du CNRS, associée à l'E.N.S. de Lyon, et au L.A.P.P.

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Delduc, F., Ragoucy, E. & Sorba, P. Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models. Commun.Math. Phys. 146, 403–426 (1992). https://doi.org/10.1007/BF02102635

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  • DOI: https://doi.org/10.1007/BF02102635

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