On topological F-theory

Details On topological F-theory On topological F-theory

2004-12-13

arxiv.org/abs/hep-th/0412120v3

JHEP 0505 (2005) 021

Physics

High Energy Physics

High Energy Physics - Theory

journal version, new symmetry added in section 4

Scientific paper

10.1088/1126-6708/2005/05/021

We consider the construction of a topological version of F-theory on a particular $Spin(7)$ 8-manifold which is a Calabi-Yau 3-fold times a 2-torus. We write an action for this theory in eight dimensions and reduce it to lower dimensions using Hitchin's gradient flow method. A symmetry of the eight-dimensional theory which follows from modular transformations of the torus induces duality transformations of the variables of the topological A- and B-models. We also consider target space form actions in the presence of background fluxes in six dimensions.

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