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Constraints and actions in two and three dimensionalN=1 conformal supergravity

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Zeitschrift für Physik C Particles and Fields

Abstract

We investigate closure of the gauge algebra and constraints inN=1 conformal supergravity in 2 and 3 dimensions. In the 2 dimensional case, contrary to 3 or higher dimensions, some parts of the gauge fields are algebraically unsolvable in the constraint equations on group curvatures. It will be shown that these unsolvable parts are decoupled from the transformation law as well as from the kinetic multiplets. Hence they are absent in the invariant action for matter multiplets coupled to conformal supergravity which is relevant to the old superstrings. Explicit construction of the invariant actions are illustrated for the case of spinning strings and locally supersymmetric σ-models with the Wess-Zumino term.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, 113, Tokyo, Japan

    Tsuneo Uematsu

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  1. Tsuneo Uematsu
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Uematsu, T. Constraints and actions in two and three dimensionalN=1 conformal supergravity. Z. Phys. C - Particles and Fields 32, 33–42 (1986). https://doi.org/10.1007/BF01441348

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  • DOI: https://doi.org/10.1007/BF01441348

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