Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-14
Class.Quant.Grav.24:4881-4913,2007
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, 2 figures, added additional discussion of gauge fixing and self-adjointness of the Hamiltonian, added references
Scientific paper
10.1088/0264-9381/24/20/001
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.
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