Stringy Toda Cosmologies

Details Stringy Toda Cosmologies Stringy Toda Cosmologies

1996-09-11

arxiv.org/abs/hep-th/9609087v2

Phys.Rev. D55 (1997) 3394-3402

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, latex, no figures. Several minor typos corrected

Scientific paper

10.1103/PhysRevD.55.3394

We discuss a particular stringy modular cosmology with two axion fields in seven space-time dimensions, decomposable as a time and two flat three-spaces. The effective equations of motion for the problem are those of the $SU(3)$ Toda molecule, and hence are integrable. We write down the solutions, and show that all of them are singular. They can be thought of as a generalization of the Pre-Big-Bang cosmology with excited internal degrees of freedom, and still suffering from the graceful exit problem. Some of the solutions however show a rather unexpected property: some of their spatial sections shrink to a point in spite of winding modes wrapped around them. We also comment how more general, anisotropic, solutions, with fewer Killing symmetries can be obtained with the help of STU dualities.

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