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arXiv · hep-th/9911035

On first order formulations of supergravities

B. Julia·S. Silva
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Abstract

Supergravities are usually presented in a so-called 1.5 order formulation. Here we present a general scheme to derive pure 1^{st} order formulations of supergravities from the 1.5 order ones. The example of N_4=1 supergravity will be rederived and new results for N_4=2 and N_11=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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B. Julia, S. Silva. 1999-12-18. On first order formulations of supergravities. https://doi.org/10.1088/1126-6708%2F2000%2F01%2F026

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