Solving the Decompactification Problem in String Theory

Details Solving the Decompactification Problem in String Theory Solving the Decompactification Problem in String Theory

1996-06-16

arxiv.org/abs/hep-th/9606087v3

Phys.Lett. B385 (1996) 87-95

Physics

High Energy Physics

High Energy Physics - Theory

14pp, LaTeX some typos corrected

Scientific paper

10.1016/0370-2693(96)00880-5

We investigate heterotic ground states in four dimensions in which N=4 supersymmetry is spontaneously broken to N=2. N=4 supersymmetry is restored at a decompactification limit corresponding to $m_{3/2}\to 0$. We calculate the full moduli dependent threshold corrections and confirm that they are supressed in the decompactification limit $m_{3/2}\to 0$ as expected from the restoration of N=4 supersymmetry. This should be contrasted with the behavior of the standard N=2 groundstates where the coupling blow up linearly with the volume of the decompactifying manifold. This mechanism provides a solution to the decompactification problem for the gauge coupling constants. We also discuss how the mechanism can be implemented in ground states with lower supersymmetry.

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