Abstract

We consider compactifications of type II string theory using exact internal CFT’s with central charge c = 9 + ϵ, |ϵ| ≪ 1, leading to an effective potential for the dilaton. For ϵ > 0 the potential is positive and the dilaton is ultimately driven to weak coupling. For ϵ < 0 the dilaton is driven to strong coupling, but we can stabilise the background by including D-branes. The resulting minimum admits an AdS 4 solution where the cosmological constant is of the order ϵ 3 and the string coupling constant is of order ϵ. Furthermore these CFT’s typically do not possess any massless or tachyonic modes. Thus these vacua provide exact CFT descriptions of moduli stabilisation in weakly coupled string theory.

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