Linear versus non-linear supersymmetry, in general

  • Sergio Ferrara
  • Renata KalloshEmail author
  • Antoine Van Proeyen
  • Timm Wrase
Open Access
Regular Article - Theoretical Physics


We study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in addition to the physical multiplets there are Lagrange multiplier (LM) superfields. Once the equations of motion for the LM superfields are solved, some of the physical superfields become constrained. The linear supersymmetry of the original models becomes non-linearly realized, its exact form can be deduced from the original linear supersymmetry. Known examples of constrained superfields are shown to require the following LM’s: chiral superfields, linear superfields, general complex superfields, some of them are multiplets with a spin.


Supergravity Models Supersymmetry Breaking Cosmology of Theories beyond the SM 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Sergio Ferrara
    • 1
    • 2
    • 3
  • Renata Kallosh
    • 4
    Email author
  • Antoine Van Proeyen
    • 5
  • Timm Wrase
    • 6
  1. 1.Theoretical Physics DepartmentCERNGeneva 23Switzerland
  2. 2.INFN - Laboratori Nazionali di FrascatiFrascatiItaly
  3. 3.Department of Physics and AstronomyU.C.L.A.Los AngelesU.S.A.
  4. 4.SITP and Department of PhysicsStanford UniversityStanfordU.S.A.
  5. 5.Institute for Theoretical PhysicsKatholieke Universiteit LeuvenLeuvenBelgium
  6. 6.Institute for Theoretical PhysicsTechnische Universität WienViennaAustria

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