A special road to AdS vacua

Abstract : We apply the techniques of special Kaehler geometry to investigate AdS_4 vacua of general N=2 gauged supergravities underlying flux compactifications of type II theories. We formulate the scalar potential and its extremization conditions in terms of a triplet of prepotentials P_x and their special Kaehler covariant derivatives only, in a form that recalls the potential and the attractor equations of N=2 black holes. We propose a system of first order equations for the P_x which generalize the supersymmetry conditions and yield non-supersymmetric vacua. Special geometry allows us to recast these equations in algebraic form, and we find an infinite class of new N=0 and N=1 AdS_4 solutions, displaying a rich pattern of non-trivial charges associated with NSNS and RR fluxes. Finally, by explicit evaluation of the entropy function on the solutions, we derive a U-duality invariant expression for the cosmological constant and the central charges of the dual CFT's.
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Journal of High Energy Physics, Springer, 2010, pp.027. 〈10.1007/JHEP02(2010)027〉
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Davide Cassani, Sergio Ferrara, Alessio Marrani, Jose Morales, Henning Samtleben. A special road to AdS vacua. Journal of High Energy Physics, Springer, 2010, pp.027. 〈10.1007/JHEP02(2010)027〉. 〈ensl-00432620〉

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