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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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1029-8479

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A special road to AdS vacua

Authors: Davide Cassani Sergio Ferrara Alessio Marrani Jose F Morales Henning Samtleben
Publish Date: 2010/02/09
Volume: 2010, Issue: 2, Pages: 27-
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Abstract

We apply the techniques of special Kähler geometry to investigate AdS4 vacua of general mathcalN = 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 mathcalP x and their special Kähler covariant derivatives only in a form that recalls the potential and the attractor equations of mathcalN = 2 black holes We propose a system of first order equations for the mathcalP x which generalize the supersymmetry conditions and yield nonsupersymmetric vacua Special geometry allows us to recast these equations in algebraic form and we find an infinite class of new mathcalN = 0 and mathcalN = 1 AdS4 solutions displaying a rich pattern of nontrivial charges associated with NSNS and RR fluxes Finally by explicit evaluation of the entropy function on the solutions we derive a Uduality invariant expression for the cosmological constant and the central charges of the dual CFT’sThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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