Towards an Ashtekar Formalism in Twelve Dimensions

Original · EN

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→ (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.