Birth of the Universe from the Landscape of String Theory

Abstract

We show that a unique, most probable and stable solution for the wavefunction of the universe, with a very small cosmological constant ${\Lambda }_1\simeq (\frac{\pi }{l_{p}N}{)}^2$, can be predicted from the supersymmetric minisuperspace with $N$ vacua, of the landscape of string theory without reffering to the antropic principle. Due to the nearest neighbor tunneling in moduli space lattice, the $N$-fold degeneracy of vacua is lifted and a discrete spectrum of bound state levels over the whole minisuperspace emerges. $SUSY$ is spontaneously broken by these bound states, with discrete nonzero energy levels ${\Lambda }_s\simeq (\frac{s\pi }{l_{p}N}{)}^2$, $s=1,2,..$.

4 pp, no figures

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