A Geometric Formulation of Supersymmetry
High Energy Physics - Theory
2017-04-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1609.07362,
title = {A Geometric Formulation of Supersymmetry},
author = {Daniel Z. Freedman and Diederik Roest and Antoine Van Proeyen},
journal= {arXiv preprint arXiv:1609.07362},
year = {2017}
}
Comments
14 pages; v2: references added