$T^4$ fibrations over Calabi-Yau two-folds and non-Kahler manifolds in string theory

Abstract

We construct a geometric model of eight-dimensional manifolds and realize them in the context of type II string theory. These eight-manifolds are constructed by non-trivial $T^4$ fibrations over Calabi-Yau two-folds. These give rise to eight-dimensional non-Kahler Hermitian manifolds with $SU(4)$ structure. The eight-manifold is also a circle fibration over a seven-dimensional $G_2$ manifold with skew torsion. The eight-manifolds of this type appear as internal manifolds with $SU(4)$ structure in type IIB string theory with $F_3$ and $F_7$ fluxes. These manifolds have generalized calibrated cycles in the presence of fluxes.

22 pages

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Cited by in corpus (1)

• Higher dimensional generalizations of twistor spaces