Complex linear superfields, Supercurrents and Supergravities
Abstract
We present expressions for the supercurrents generated by a generic 4D,~N=1 theory of complex linear superfield . 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.
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