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Supercurrents in N = 1 Minimal Supergravity in the Superconformal Formalism

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

We discuss the Einstein tensor, the supercurrent and their conservation laws of old and new minimal formulations of supergravity in the superconformal approach. The variation of the action with respect to the gauge field of the \(R\)-symmetry in the conformal approach (the auxiliary field in the super-Poincaré action) allows to find the Einstein tensor and supercurrent in any curved background. Hence generalized expressions for their Ward identities follow. This proceeding is based on [1, 2].

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Notes

  1. We will indicate equations valid modulo equations of motion by \( \approx \).

  2. For a discussion of more general settings see [11, 12].

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Authors and Affiliations

  1. Theoretical Physics Department, CERN CH-1211, Geneva 23, Switzerland

    Sergio Ferrara

  2. INFN—Laboratori Nazionali di Frascati Via Enrico Fermi 40, I-00044, Frascati, Italy

    Sergio Ferrara

  3. Alikhanyan National Laboratory (Yerevan Physics Institute), 0036, Yerevan, Armenia

    Marine Samsonyan

  4. KU Leuven, Institute for Theoretical Physics, Celestijnenlaan 200D, B-3001, Leuven, Belgium

    Magnus Tournoy & Antoine Van Proeyen

Authors
  1. Sergio Ferrara
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  2. Marine Samsonyan
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  3. Magnus Tournoy
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  4. Antoine Van Proeyen
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Correspondence to Sergio Ferrara, Marine Samsonyan, Magnus Tournoy or Antoine Van Proeyen.

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Sergio Ferrara, Samsonyan, M., Tournoy, M. et al. Supercurrents in N = 1 Minimal Supergravity in the Superconformal Formalism. Phys. Part. Nuclei Lett. 17, 645–649 (2020). https://doi.org/10.1134/S1547477120050143

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  • DOI: https://doi.org/10.1134/S1547477120050143

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