Complex linear superfields, Supercurrents and Supergravities

Abstract

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

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Cited by in corpus (4)

• Higher Spin Superfield interactions with Complex linear Supermultiplet: Conserved Supercurrents and Cubic Vertices
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Complex Linear Multiplets and Local Supersymmetry Breaking
• A supersymmetric spin current