Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-05-18
Phys.Lett.B296:316-322,1992
Physics
High Energy Physics
High Energy Physics - Theory
10p., 3 figures, not included, minor wording changes
Scientific paper
10.1016/0370-2693(92)91327-6
We study cosmological implications of the duality ($PSL(2,{\bf Z})$) invariant potential for the compactification radius $T$, arising in a class of superstring vacua. We show that in spite of having only one minimum in the fundamental domain of the $T$ field there are two types of non-supersymmetric domain walls: one is associated with the discrete Peccei-Quinn symmetry $T\to T+i$, analogous to the axionic domain wall, and another one associated with the noncompact symmetry $T\to 1/T$, analogous to the $Z_2$ domain walls. The first one is bound by stringy cosmic strings. The scale of such domain walls is governed by the scale of gaugino condensation (${\cal O} (10^{16}$ GeV) in the case of hidden $E_8$ gauge group), while the separation between minima is of order $M_{pl}$. We discuss the formation of walls and their cosmological implications: the walls must be gotten rid of, either by chopping by stringy cosmic strings and/or inflation. Since there is no usual Kibble mechanism to create strings, either one must assume they exist $ab initio$, or one must conclude that string cosmologies require inflation. The non-perturbative potential dealt with here appears not to give the needed inflationary epoch.
Cvetic Mirjam
Davis Richard Lynn
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