TL;DR
This paper develops a canonical and quantum formulation of minisuperspace models derived from M-theory, revealing similarities with String Theory's pre-Big Bang scenario.
Contribution
It provides the first full canonical and quantum treatment of minisuperspace models in M-theory, including the constraint algebra and classical analysis.
Findings
Classical minisuperspace dynamics show pre-Big Bang-like behavior.
Quantum models exhibit features analogous to string cosmology scenarios.
Explicit construction of the constraint algebra in 11D supergravity.
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.
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