An expanding universe in string theory

Details An expanding universe in string theory An expanding universe in string theory

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989nuphb.328..117a&link_type=abstract

Nuclear Physics B, Volume 328, Issue 1, p. 117-139.

Physics

Nuclear Physics

220

Scientific paper

We present solutions of the bosonic, heterotic and type II string theories, whose space-time manifold is a linearly expanding homogeneous and isotropic universe. These solutions are obtained by giving a background charge to the time coordinate on the world-sheet. We find the spectrum, demonstrate positivity of the Hilbert space up to the second excited level, and construct modular-invariant partition functions. The central charge of transverse excitations is a free parameter that controls the asymptotic density of states; the critical dimension and gauge group can in particular be made arbitrarily large. We show how to construct dual, factorizable, energy-conserving amplitudes in this background, discuss their interpretation and comment on the initial singularity and flatness problems in the light of our results.

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