Dualities versus Singularities

Details Dualities versus Singularities Dualities versus Singularities

1998-11-22

arxiv.org/abs/hep-th/9811194v2

JHEP 9901:019,1999

Physics

High Energy Physics

High Energy Physics - Theory

JHEP LaTeX, 23 pages, 1 eps-figure. Five references, a paragraph at the beginning of section 3 and an appendix added

Scientific paper

10.1088/1126-6708/1999/01/019

We show that a subgroup of the modular group of M-theory compactified on a ten torus, implies the Lorentzian structure of the moduli space, that is usually associated with naive discussions of quantum cosmology based on the low energy Einstein action. This structure implies a natural division of the asymptotic domains of the moduli space into regions which can/cannot be mapped to Type II string theory or 11D Supergravity (SUGRA) with large radii. We call these the safe and unsafe domains. The safe domain is the interior of the future light cone in the moduli space while the unsafe domain contains the spacelike region and the past light cone. Within the safe domain, apparent cosmological singularities can be resolved by duality transformations and we briefly provide a physical picture of how this occurs. The unsafe domains represent true singularities where all field theoretic description of the physics breaks down. They violate the holographic principle. We argue that this structure provides a natural arrow of time for cosmology. All of the Kasner solutions, of the compactified SUGRA theory interpolate between the past and future light cones of the moduli space. We describe tentative generalizations of this analysis to moduli spaces with less SUSY.

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