Equivalence between various versions of the self-dual action of the Ashtekar formalism

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, Latex, minor corrections

Scientific paper

10.1142/S0217732305017639

Different aspects of the self-dual (anti-self-dual) action of the Ashtekar
canonical formalism are discussed. In particular, we study the equivalences and
differences between the various versions of such an action. Our analysis may be
useful for the development of an Ashtekar formalism in eight dimensions.

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