N=3 supersymmetry multiplets with vanishing trace anomaly: Building blocks of the N>3 supergravities

Abstract

N⩾3 supergravity theories with vanishing one-loop trace anomaly may be constructed fron three basic N=3 multiplets, one of which contains an antisymmetric tensor gauge field. As an example we construct the N=4 theory and discuss its relationship to ten-dimensional supergravity.