On topological F-theory

Abstract

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.

journal version, new symmetry added in section 4

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Cited by in corpus (7)

• M-theory on eight-manifolds revisited: N=1 supersymmetry and generalized Spin(7) structures
• From current algebras for p-branes to topological M-theory
• AKSZ constructions for topological membranes on $G_2$-manifolds
• G2 Hitchin functionals at one loop
• Computing Amplitudes in topological M-theory
• Twistor Strings with Flavour
• Topological G${}_2$ and Spin(7) strings at 1-loop from double complexes