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arXiv · 1612.08706

Complex linear superfields, Supercurrents and Supergravities

P. Kočí·K. Koutrolikos·R. von Unge
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Abstract

We present expressions for the supercurrents generated by a generic $4D,~\mathcal{N}=1$ theory of complex linear superfield $Σ$. 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-Poincaré invariance of the theory. We apply these results to examples of theories with higher derivative terms.

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P. Kočí, K. Koutrolikos, R. von Unge. 2017-02-15. Complex linear superfields, Supercurrents and Supergravities. https://doi.org/10.1007/jhep02(2017)076

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