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
References in corpus (23)
- String Theory Dynamics In Various Dimensions
- Mirror Symmetry is T-Duality
- The Pre-Big Bang Scenario in String Cosmology
- The eleven-dimensional supermembrane revisited
- The role of the rigged Hilbert space in Quantum Mechanics
- Timelike Boundary Liouville Theory
- E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology
- Rolling Tachyons from Liouville theory
- Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models
- Graceful exit in quantum string cosmology
- Birth of the Universe as quantum scattering in string cosmology
- Scale Factor Duality: A Quantum Cosmological Approach
- String-Dominated Cosmology
- Boundary Conditions in Quantum String Cosmology
- Quantization of the Schwarzschild Black Hole
- On Minisuperspace Models of S-branes
- Canonical and quantum FRW cosmological solutions in M-theory
- Cos(M)ological Solutions in M- and String Theory
- Quantum mechanical Liouville model with attractive potential
- Reduced SL(2,R) WZNW Quantum Mechanics
- Time Gauge Fixing and Hilbert Space in Quantum String Cosmology
- Canonical and path integral quantisation of string cosmology models
- Pre-big bang in M-theory