Canonical formalism of N = 1 supergravity with the real Ashtekar variables

Physics

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Scientific paper

The canonical formalism of N = 1 supergravity with the real Ashtekar variables are considered. This canonical formalism is derived from that of the usual N = 1 supergravity by performing the Barbero-type canonical transformation with a free parameter β. We also introduce new variables to simplify the Dirac brackets of the canonical variables and give the canonical constraints in terms of these variables. We examine the canonical structure of the theory.

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