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

Understand

We consider compactifications of type II string theory on general SU(3) x SU(3) structure backgrounds allowing for a very large set of fluxes, possibly nongeometric ones.

• We study the effective 4d low energy theory which is a gauged N=2 supergravity, and discuss how its data are obtained from the formalism of the generalized geometry on T+T*.
• In particular we relate Hitchin's special Kaehler metrics on the spaces of even and odd pure spinors to the metric on the supergravity moduli space of internal metric and B-field fluctuations.
• We derive the N=1 vacuum conditions from this N=2 effective action, as well as from its N=1 truncation.