In supersymmetric AdS4 string compactifications, the cosmological constant keeps the D7-brane four-cycle at finite size, and matching near and far from the brane reproduces, up to an undetermined coefficient, the KKLT Kähler moduli stabilization condition.
AdS vacua with scale separation from IIB supergravity
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abstract
Only two kinds of compactification are known that lead to four-dimensional supersymmetric AdS vacua with moduli stabilisation and separation of scales at tree-level. The most studied ones are compactifications of massive IIA supergravity on SU(3) structures with smeared O6 planes, for which a general ten-dimensional expression for the solution in terms of the SU(3) structure was found. Less studied are compactifications of IIB supergravity with smeared O5/O7 planes. In this paper we derive a general ten-dimensional expression for the smeared O5/O7 solutions in terms of SU(2) structures. For a specific choice of orientifold projections, we recover the known examples and we also provide new explicit solutions.
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K\"ahler moduli stabilization from ten dimensions
In supersymmetric AdS4 string compactifications, the cosmological constant keeps the D7-brane four-cycle at finite size, and matching near and far from the brane reproduces, up to an undetermined coefficient, the KKLT Kähler moduli stabilization condition.