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.
Cite
@article{arxiv.0911.2708,
title = {A special road to AdS vacua},
author = {Davide Cassani and Sergio Ferrara and Alessio Marrani and Jose F. Morales and Henning Samtleben},
journal= {arXiv preprint arXiv:0911.2708},
year = {2014}
}
Comments
41 pages; v2, v3: minor improvements, references added, published version