Condensates and Singularities in String Theory

Details Condensates and Singularities in String Theory Condensates and Singularities in String Theory

1993-02-24

arxiv.org/abs/hep-th/9302120v1

Nucl.Phys.B414:174-190,1994

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, DAMTP-R92-40, IUHET 242

Scientific paper

10.1016/0550-3213(94)90427-8

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the metric and the dilaton. The solutions represent critical string theories in arbitrary dimensions. The spectrum of the subclass of models with a linearly rising asymptotic dilaton is found using the Feigin-Fuks method. Certain approximate solutions arising in string field theory are used to illustrate the results explicitly. An argument based on conformal invariance leads to the conjecture that that stringy corrections to at least some singular spacetimes in general relativity result in non-singular metrics. We use the singularities of the big-bang/crunch type appearing in our models to examine this conjecture.

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