Heterotic string compactifications on integrable G 2 structure manifolds Y with instanton
bundles (V, A),(TY, ̃ θ)(V, A),(TY, θ~) yield supersymmetric three-dimensional vacua that are …

A bstract We describe the infinitesimal moduli space of pairs (Y, V) where Y is a manifold
with G 2 holonomy, and V is a vector bundle on Y with an instanton connection. These …

A bstract We present a general procedure to construct 6-dimensional manifolds with SU (3)-
structure from SU (2)-structure 5-manifolds. We thereby obtain half-flat cylinders and sine …

A bstract We study\(\mathfrak {g}\)-valued Yang-Mills fields on cylinders\(Z\left
(G/H\right)=\mathbb {R}\times G/H\), where G/H is a compact seven-dimensional coset space …

Abstract We consider the Hermitian Yang–Mills (instanton) equations for connections on
vector bundles over a 2n-dimensional Kähler manifold X which is a product Y× Z of p-and q …

Abstract We consider Spin (4)-equivariant dimensional reduction of Yang–Mills theory on
manifolds of the form M d× T 1, 1, where M d is a smooth manifold and T 1, 1 is a five …

This work concerns stability and instability of Einstein warped products with an Einsteinian
fiber of codimension 1. We study the cases where the scalar curvature of the warped product …

Abstract The Hermitian Yang–Mills equations on certain vector bundles over Calabi–Yau
cones can be reduced to a set of matrix equations; in fact, these are Nahm-type equations …

Abstract We consider the SU (3)-equivariant dimensional reduction of gauge theories on
spaces of the form M d× X 1, 1 with d-dimensional Riemannian manifold M d and the Aloff …

We compute the spectra of the Laplace-Beltrami operator, the connection Laplacian on 1-
forms and the Einstein operator on symmetric 2-tensors on the sine-cone over a positive …