pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres

Details pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres

2005-08-10

arxiv.org/abs/hep-th/0508068v2

Phys.Rev. D72 (2005) 086005

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, ReVTeX and AMSLaTeX. 4 Figures. v2: Typo corrected and reference added

Scientific paper

10.1103/PhysRevD.72.086005

We find pp wave solutions in string theory with null-like linear dilatons. These provide toy models of big bang cosmologies. We formulate Matrix String Theory in these backgrounds. Near the big bang ``singularity'', the string theory becomes strongly coupled but the Yang-Mills description of the matrix string is weakly coupled. The presence of a second length scale allows us to focus on a specific class of non-abelian configurations, viz. fuzzy cylinders, for a suitable regime of parameters. We show that, for a class of pp waves, fuzzy cylinders which start out big at early times dynamically shrink into usual strings at sufficiently late times.

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