2016/09/30 by Daniel Z. Freedman, Diederik Roest, Antoine Van Proeyen · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Covariant transformation #Gauge covariant derivative #Quantum and Classical Electrodynamics #Scalar (mathematics) #Scalar field #Supersymmetry #Supersymmetry algebra #Transformation (genetics) #hep-th
paper · pdf · doi:10.1002/prop.201600106
14 pages; v2: references added
openalex created_date 2016/10/07 · arxiv created 2016/10/19 · openalex publication_date 2016/12/05 · arxiv updated 2017/04/26 · openalex updated_date 2026/08/06
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.