Constructing effective actions for N = 1 supersymmetry theories: Symmetry principles and ward identities

The implications of the anomalous superconformal Ward identities for the construction of effective actions describing the low-energy dynamics of supersymmetry theories are investigated. The results apply to any N = 1 supersymmetry theory with an anomaly structure,

$\text{D}{}^{\mathrm{<mtext>\alpha </mtext><mtext>?</mtext>}}\text{V}{}_{\mathrm{<mtext>\alpha </mtext><mtext>\alpha </mtext><mtext>?</mtext>}}\text{+2D}{}_{\mathrm{\alpha }}\text{S=0}$

, where $\text{V}{}_{\mathrm{<mtext>\alpha </mtext><mtext>\alpha </mtext><mtext>?</mtext>}}$ is the supercurrent and the chiral superfield S represents the anomaly.