English

Complex linear superfields, Supercurrents and Supergravities

High Energy Physics - Theory 2017-03-08 v2 Mathematical Physics math.MP

Abstract

We present expressions for the supercurrents generated by a generic 4D, N=14D,~\mathcal{N}=1 theory of complex linear superfield Σ\Sigma. We verify that these expressions satisfy the appropriate superspace conservation equations. Furthermore, we discuss the component projection in order to derive expressions for the energy-momentum tensor, the supersymmetry current and the R-symmetry current when available. In addition, we discuss aspects of the coupling of the theory to supergravity. Specifically, we present a straightforward method to select the appropriate formulations of supergravity that one must use in order to do the coupling. This procedure is controlled by a superfield X originating from the Super-Poincar\'{e} invariance of the theory. We apply these results to examples of theories with higher derivative terms.

Keywords

Cite

@article{arxiv.1612.08706,
  title  = {Complex linear superfields, Supercurrents and Supergravities},
  author = {P. Kočí and K. Koutrolikos and R. von Unge},
  journal= {arXiv preprint arXiv:1612.08706},
  year   = {2017}
}