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On first order formulations of supergravities
Author(s) -
B. Juliá,
Sebastián Silva
Publication year - 2000
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2000/01/026
Subject(s) - supergravity , rotation formalisms in three dimensions , order (exchange) , superfield , transformation (genetics) , symmetry (geometry) , physics , theoretical physics , scheme (mathematics) , mathematical physics , mathematics , supersymmetry , mathematical analysis , chemistry , geometry , biochemistry , finance , economics , gene
LaTex, 30 Pages. Expanded introduction and added referencesSupergravities 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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