Compactification and fluxes: an AdS4 case

G. ALDAZABAL

Ten Years of AdS/CFT

APS

Año: 2008; p. 61 - 71

We discuss explicit examples of compactifications on AdS4 with fluxes turned on. We show that a class of type IIA vacua recently found within the D=4 effective approach corresponds to compactification on AdS4×S match the general ten-dimensional analysis for the existence of N =1 warped compactifications on AdS4 × M6. In particular, we verify that the internal metric is nearly-Kähler and that for specific values of the parameters the Bianchi identity of the RR 2-form is fulfilled without sources. For another range of parameters, including the massless case, the Bianchi identity is satisfied when D6-branes are introduced. Solving the tadpole cancellation conditions in D=4 we are able to find examples of appropriate sets of branes.