We derive the five–dimensional effective action of strongly coupled heterotic string theory for the complete (1, 1) sector of the theory by performing a reduction, on a Calabi–Yau three–fold, of… (More)

The low-energy D = 4, N = 1 effective action of the strongly coupled heterotic string is explicitly computed by compactifying Hořava-Witten theory on the deformed Calabi-Yau threefold solution due to… (More)

We construct vacua of M–theory on S1/Z2 associated with Calabi–Yau three-folds. These vacua are appropriate for compactification to N = 1 supersymmetry theories in both four and five dimensions. We… (More)

We review the spectral cover formalism for constructing both U(n) and SU(n) holomorphic vector bundles on elliptically fibered Calabi–Yau three-folds which admit a section. We discuss the allowed… (More)

It is shown that the effective five–dimensional theory of the strongly coupled heterotic string is a gauged version of N = 1 five–dimensional supergravity with four–dimensional boundaries. For the… (More)

We compute the moduli Kähler potential for M-theory on a compact manifold of G2 holonomy in a large radius approximation. Our method relies on an explicit G2 structure with small torsion, its periods… (More)

Supersymmetry breaking via gaugino condensation is studied in vacua of heterotic M–theory with five–branes. We show that supersymmetry is still broken by a global mechanism and that the… (More)

We study the effective action of the heterotic string compactified on particular half-flat manifolds which arise in the context of mirror symmetry with NS-NS flux. We explicitly derive the… (More)

We study the constraints on five–dimensional N = 1 heterotic M–theory imposed by a consistent anomaly–free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle… (More)

In these lectures, we present cosmological vacuum solutions of Hořava-Witten theory and discuss their physical properties. We begin by deriving the five–dimensional effective action of strongly… (More)