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

Davide Cassani (1) , Adel Bilal (1)

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

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. We prove a direct correspondence between these conditions and an integrated version of the pure spinor equations characterizing the N=1 backgrounds at the ten dimensional level.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Davide Cassani, Adel Bilal. Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications. Journal of High Energy Physics, 2007, pp.0709 (2007) 076. ⟨hal-00256264⟩