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Non-Archimedean superfields

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

The component representation of superfields over non-Archimedean (and, in particular, p-adic) superalgebras with an infinite number of anticommuting generators is investigated. It is shown that supersmooth fields, nonpolynomial in anticommuting variables, exist in the non-Archimedean case (as opposed to the real or complex case). The superfield representation for the algebra of non-Archimedean supersymmetries is analyzed in the p-adic case (p ≡ 3 mod 4). New solutions of equations on a chiral superfield and other superfield equations are discovered in non-Archimedean theory.

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Authors
  1. A. Yu. Khrennikov
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  2. R. Cianci
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Additional information

This work has been supported by the CNR Fund (Italy) and an Advanced Study of p-Adic Mathematical Physics Grant.

Institute of Electronic Engineering, Moscow. Genova University, Italy. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 35–38, November, 1993.

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Khrennikov, A.Y., Cianci, R. Non-Archimedean superfields. Russ Phys J 36, 1043–1045 (1993). https://doi.org/10.1007/BF00560441

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  • DOI: https://doi.org/10.1007/BF00560441

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