Towards a Background Independent Quantum Gravity in Eight Dimensions
arXiv:0704.2769
Abstract
We start a program of background independent quantum gravity in eight dimensions. We begin by considering canonical gravity \textit{a la} "Kaluza-Klein" in dimensions. We show that our canonical gravity approach can be applied to the case of self-dual gravity in four dimensions. Further, by using our previously proposed classical action of Ashtekar self-dual gravity formalism in eight dimensions, we proceed to develop the canonical approach in eight dimensions. Our construction considers different SO(8) symmetry breakings. In particular, the breaking plays an important role in our discussion.
27 pages, Latex,some improvements introduced, typos corrected