A geometric formulation of supersymmetry

Daniel Z. Freedman, Diederik Roest, Antoine Van Proeyen*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
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The scalar fields of supersymmetric models are coordinates of a geometric space. We propose a formulation of supersymmetry that is covariant with respect to reparametrizations of this target space. Employing chiral multiplets as an example, we introduce modified supersymmetry variations and redefined auxiliary fields that transform covariantly under reparametrizations. The resulting action and transformation laws are manifestly covariant and highlight the geometric structure of the supersymmetric theory. The covariant methods are developed first for general theories (not necessarily supersymmetric) whose scalar fields are coordinates of a Riemannian target space.

Original languageEnglish
Article number1600106
Number of pages8
JournalFortschritte der physik-Progress of physics
Issue number1
Publication statusPublished - Jan-2017


  • Field Theory
  • Supersymmetry

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