Abstract
Abstract We present the complete structure of extended conformal supergravity for N ⩽4. The relation with the graded algebra SU(2, 2| N ) and with the multiplet of currents is discussed. The N = 4 superconformal theory has a formulation with local SU(4)×U(1) and rigid SU(1, 1) invariance. We give the linearized invariant actions for all N . For N = 2 we exhibit the complete non-linear lagrangian.
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