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We consider compactifications of type II string theory on general SU(3) xSU(3) structure backgrounds allowing for a very large set of fluxes, possiblynongeometric ones. We study the effective 4d low energy theory which is agauged N=2 supergravity, and discuss how its data are obtained from theformalism of the generalized geometry on T+T*. In particular we relateHitchin's special Kaehler metrics on the spaces of even and odd pure spinors tothe metric on the supergravity moduli space of internal metric and B-fieldfluctuations. We derive the N=1 vacuum conditions from this N=2 effectiveaction, as well as from its N=1 truncation. We prove a direct correspondencebetween these conditions and an integrated version of the pure spinor equationscharacterizing the N=1 backgrounds at the ten dimensional level.

Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications