N=1 domain wall solutions of massive type II supergravity as generalized geometries

Details N=1 domain wall solutions of massive type II supergravity as generalized geometries N=1 domain wall solutions of massive type II supergravity as generalized geometries

2006-05-05

arxiv.org/abs/hep-th/0605063v1

JHEP 0608:058,2006

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX

Scientific paper

10.1088/1126-6708/2006/08/058

We study N=1 domain wall solutions of type IIB supergravity compactified on a Calabi-Yau manifold in the presence of RR and NS electric and magnetic fluxes. We show that the dynamics of the scalar fields along the direction transverse to the domain wall is described by gradient flow equations controlled by a superpotential W. We then provide a geometrical interpretation of the gradient flow equations in terms of the mirror symmetric compactification of type IIA. They correspond to a set of generalized Hitchin flow equations of a manifold with SU(3)xSU(3)structure which is fibered over the direction transverse to the domain wall.

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