On first order formulations of supergravities
Abstract
Supergravities are usually presented in a so-called 1.5 order formulation. Here we present a general scheme to derive pure 1st order formulations of supergravities from the 1.5 order ones. The example of N4=1 supergravity will be rederived and new results for N4=2 and N11=1 will be presented. It seems that beyond four dimensions the auxiliary fields introduced to obtain first order formulations of SUGRA theories do not admit supergeometrical transformation laws at least before a full superfield treatment. On the other hand first order formalisms simplify eventually symmetry analysis and the study of dimensional reductions.
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