A simple model of dimensional collapse

Details A simple model of dimensional collapse A simple model of dimensional collapse

1996-08-05

arxiv.org/abs/hep-th/9608021v1

Phys.Lett. B388 (1996) 707-712

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, plain Latex

Scientific paper

10.1016/S0370-2693(96)01223-3

We consider a simple model of d families of scalar field interacting with geometry in two dimensions. The geometry is locally flat and has only global degrees of freedom. When d<0 the universe is locally two dimensional but for d>0 it collapses to a one dimensional manifold. The model has some, but not all, of the characteristics believed to be features of the full theory of conformal matter interacting with quantum gravity which has local geometric degrees of freedom.

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