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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 433314.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Supersymmetric quantum cosmological billiards
Authors:Kleinschmidt, Axel; Koehn, Michael; Nicolai, Hermann
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Physical Review D
Volume:80
Sequence Number of Article:061701
Review Status:not specified
Audience:Not Specified
Abstract / Description:D=11 Supergravity near a space-like singularity admits a cosmological billiard description based on the hyperbolic Kac-Moody group E10. The quantization of this system via the supersymmetry constraint is shown to lead to wavefunctions involving automorphic (Maass wave) forms under the modular group W^+(E10)=PSL(2,O) with Dirichlet boundary conditions on the billiard domain. A general inequality for the Laplace eigenvalues of these automorphic forms implies that the wave function of the universe is generically complex and always tends to zero when approaching the initial singularity. We discuss possible implications of this result for the question of singularity resolution in quantum cosmology and comment on the differences with other approaches.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0907.3048
DOI:10.1103/PhysRevD.80.061701
URL:http://link.aps.org/doi/10.1103/PhysRevD.80.061701
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