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arXiv · 1012.3972

Moduli Stabilisation on the Worldsheet

Jawad Arshad·Neil Lambert·Andreas Recknagel
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Abstract

We consider compactifications of type II string theory using exact internal CFT's with central charge $c=9+\epsilon$, $|\epsilon| \ll 1$, leading to an effective potential for the dilaton. For $\epsilon>0$ the potential is positive and the dilaton is ultimately driven to weak coupling. For $\epsilon<0$ 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 $\epsilon^3$ and the string coupling constant is of order $\epsilon$. 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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Jawad Arshad, Neil Lambert, Andreas Recknagel. 2010-12-17. Moduli Stabilisation on the Worldsheet. https://doi.org/10.1007/jhep02(2011)111

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