Towards a Background Independent Quantum Gravity in Eight Dimensions
نویسنده
چکیده
We start a program of background independent quantum gravity in eight dimensions. We begin by considering canonical gravity a la ”Kaluza-Klein” in D = d + 1 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 SO(8) = S R × S L ×G2 plays an important role in our discussion.
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تاریخ انتشار 2007