M theory compactifications on G2 holonomy manifolds, whilst supersymmetric, require
singularities in order to obtain non-Abelian gauge groups, chiral fermions and other …

We show that B-model topological strings on local Calabi–Yau threefolds are large-N duals
of matrix models, which in the planar limit naturally give rise to special geometry. These …

We point out two extensions of the relation between matrix models, topological strings and
N= 1 supersymmetric gauge theories. First, we note that by considering double scaling limits …

We find a one-parameter family of new G2 holonomy metrics and demonstrate that it can be
extended to a two-parameter family. These metrics play an important role as the supergravity …

We continue our study of heterotic compactifications on non-Kähler complex manifolds with
torsion. We give further evidence of the consistency of the six-dimensional manifold …

We demonstrate the equivalence of all loop closed topological string amplitudes on toric
local Calabi-Yau threefolds with computations of certain knot invariants for Chern-Simons …

We construct N= 1 supersymmetric theories on worldvolumes of D5 branes wrapped around
2-cycles of threefolds which are ADE fibrations over a plane. We propose large N duals as …

This paper serves to elucidate the nature of toric duality dubbed in hep-th/0003085 in the
construction for world volume theories of D-branes probing arbitrary toric singularities. This …