On first order formulations of supergravities

Details On first order formulations of supergravities On first order formulations of supergravities

1999-11-05

arxiv.org/abs/hep-th/9911035v2

JHEP 0001 (2000) 026

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 30 Pages. Expanded introduction and added references

Scientific paper

10.1088/1126-6708/2000/01/026

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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