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Superspaces and supersymmetries

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Abstract

A theory of graded Banach modules over a Banach-Grassmann algebra is developed and applied to differential geometry of super-manifolds. The explicit structure of superspaces carrying Poincaré supersymmetry and extended supersymmetry, including central charges, is described.

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Author notes

  1. A. Jadczyk

    Present address: Institute of Theoretical Physics, University of Wroclaw, Cybulskiego 36, 50-205, Wroclaw, Poland

Authors and Affiliations

  1. II. Institut für Theoretische Physik der Universität Hamburg, D-2000, Hamburg, Federal Republic of Germany

    A. Jadczyk

  2. Institute of Theoretical Physics, University of Wroclaw, Cybulskiego 36, 50-205, Wroclaw, Poland

    K. Pilch

Authors
  1. A. Jadczyk
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  2. K. Pilch
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Additional information

Communicated by R. Haag

Supported in part by the Polish Academy of Science Research Program MR I.1

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Jadczyk, A., Pilch, K. Superspaces and supersymmetries. Commun.Math. Phys. 78, 373–390 (1981). https://doi.org/10.1007/BF01942330

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  • DOI: https://doi.org/10.1007/BF01942330

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