Minisuperspace Models in M-theory
arXiv:hep-th/0612153 · doi:10.1088/0264-9381/24/20/001
Abstract
We derive the full canonical formulation of the bosonic sector of 11-dimensional supergravity, and explicitly present the constraint algebra. We then compactify M-theory on a warped product of homogeneous spaces of constant curvature, and construct a minisuperspace of scale factors. First classical behaviour of the minisuperspace system is analysed, and then a quantum theory is constructed. It turns out that there similarities with the "pre-Big Bang" scenario in String Theory.
35 pages, 2 figures, added additional discussion of gauge fixing and self-adjointness of the Hamiltonian, added references