Towards an Ashtekar Formalism in Twelve Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, Latex; some improvements introduced, reference added, typos corrected

Scientific paper

We discuss the Ashtekar formalism from the point of view of twelve
dimensions. We first focus on the 2+10 spacetime signature and then we consider
the transition $2+10\to (2+2)+(0+8)$. We argue that both sectors 2+2 and 0+8,
which are exceptional signatures, can be analyzed from the point of view of a
self-dual action associated with the Ashtekar formalism.

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