A note on G-fluxes for F-theory model building

A note on fluxes in six-dimensional string theory backgrounds

We study the structure of warped compactifications of type IIB string theory to six space–time dimensions. We find that the most general four-manifold describing the internal dimensions is conformal to a Kähler manifold, in contrast with the heterotic case where the four-manifold must be conformally Calabi–Yau.  2004 Elsevier B.V. All rights reserved.

A Note On Zeroes Of Superpotentials In F-Theory

We discuss the dependence of superpotential terms in 4D F-theory on moduli parameters. Two cases are studied: the dependence on world-filling 3-brane positions and the dependence on 2-form VEVs. In the first case there is a zero when the 3-brane hits the divisor responsible for the superpotential. In the second case, which has been extensively discussed by Witten in 3D M-theory, there is a zero...

Fluxes in M-theory on 7-manifolds and G structures

We consider warp compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes and investigate the constraints imposed by supersymmetry. As long as the 7-manifold supports only one Killing spinor we infer from the Killing spinor equations that non-trivial 4-form fluxes will necessarily curve the external 4-dimensional space. On the other hand, if the 7-manifold has at least two ...

A Note on tvs-G-Cone Metric Fixed Point Theory

A Note on Fluxes and Superpotentials In M-theory Compactifications On Manifolds of G2 Holonomy

We consider the breaking of N = 1 supersymmetry by non-zero G-flux when Mtheory is compactified on a smooth manifold X of G2 holonomy. Gukov has proposed a superpotential W to describe this breaking in the low-energy effective theory. We check this proposal by comparing the bosonic potential implied by W with the corresponding potential deduced from the eleven-dimensional supergravity action. O...