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Even with recent progress, it is still very much an open question tounderstand how all compactification moduli are stabilized, since there areseveral mechanisms. For example, it is possible to generate a scalar potentialeither classically or through nonperturbative effects, such as gauginocondensation. Such a potential can stabilize certain of the moduli fields, forexample the dilaton. On the other hand, a background of thermal matter withmoduli-dependent masses can also stabilize certain of the moduli, e.g., theradion. It is important to understand whether these two distinct mechanisms arecompatible with each other, that is, that there are no interference terms thatcould spoil the moduli stabilization. In this paper, we study heterotic stringtheory on an N=1 orbifold near an enhanced symmetry point. We then considerboth a nonperturbatively generated potential and a gas of strings withmoduli-dependent masses to stabilize the dilaton and radial modulus,respectively. We conclude that, given certain approximations, these two modulistabilization mechanisms are compatible.

Stabilizing moduli with thermal matter and nonperturbative effects