NS-NS fluxes in Hitchin’s generalized geometry

Sigma Models, NS-fluxes and Generalized Kähler Geometry

D-Terms from Generalized NS-NS Fluxes in Type II

Orientifolds of type II string theory admit a certain set of generalized NS-NS fluxes, including not only the three-form field strength H , but also metric and non-geometric fluxes, which are related to H by T-duality. We describe in general how these fluxes appear as parameters of an effective N = 1 supergravity theory in four dimensions, and in particular how certain generalized NS-NS fluxes ...

On special geometry of the moduli space of string vacua with fluxes

In this paper we construct a special geometry over the moduli space of type II string vacua with both NS and RR fluxes turning on. Depending on what fluxes are turning on we divide into three cases of moduli space of generalized structures. They are respectively generalized Calabi-Yau structures, generalized Calabi-Yau metric structures and N = 1 generalized string vacua. It is found that the d...

Flux Vacua and Supermanifolds

As been recently pointed out, physically relevant models derived from string theory require the presence of non-vanishing form fluxes besides the usual geometrical constraints. In the case of NS-NS fluxes, the Generalized Complex Geometry encodes these informations in a beautiful geometrical structure. On the other hand, the R-R fluxes call for supergeometry as the underlying mathematical frame...

Heterotic compactifications and nearly-Kähler manifolds

Recently, a lot of attention was devoted to the study of compactifications on manifolds with reduced structure group. Such manifolds usually appear when one considers generalized compactifications in the presence of non-trivial fluxes. It is well-known that purely geometrical compactifications are supersymmetric if the internal manifold admits a covariantly constant spinor or in other words it ...