Towards an Ashtekar formalism in 12 dimensions

Physics

Scientific paper

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Ashtekar Theory, 12 Dimensions, Two Time Physics

Scientific paper

We discuss the Ashtekar formalism from the point of view of 12 dimensions. We first focus on the 2 + 10 spacetime signature and then we consider the transition 2 + 10 → (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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