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

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

2007-07-20

arxiv.org/abs/0707.3125v3

JHEP 0709:076,2007

Physics

High Energy Physics

High Energy Physics - Theory

54 pages. v2, v3: minor changes

Scientific paper

10.1088/1126-6708/2007/09/076

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.

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