In this survey paper, we briefly review various aspects of the SYZ approach to mirror
symmetry for non-Calabi-Yau varieties, focusing in particular on Lagrangian fibrations and …

We compute the Yukawa couplings among chiral fields in toroidal Type II compactifications
with wrapping D6-branes intersecting at angles. Those models can yield realistic standard …

We review various aspects of configurations of intersecting branes, including the conditions
for preservation of supersymmetry. In particular, we discuss the projection conditions on the …

We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly
noncompact) toric varieties from the perspective of the Strominger-Yau-Zaslow (SYZ) …

We present a class of chiral non-supersymmetric D= 4 field theories in which quadratic
divergences appear only at two loops. They may be depicted as``SUSY quivers''in which the …

This the first in a series of papers on special Lagrangian submanifolds in ℂ m. We study
special Lagrangian submanifolds in ℂ m with large symmetry groups, and we give a number …

We attempt to define a new invariant I of (almost) Calabi-Yau 3-folds M, by counting special
Lagrangian rational homology 3-spheres N in M in each 3-homology class, with a certain …

This is the last in a series of five papers studying compact special Lagrangian submanifolds
(SL m-folds) X in (almost) Calabi-Yau m-folds M with singularities x1,..., xn locally modelled …

The SYZ Conjecture explains Mirror Symmetry between mirror Calabi-Yau 3-folds M, M'in
terms of special Lagrangian fibrations f: M--> B and f': M'--> B over the same base B, whose …

This is the first in a series of five papers studying special Lagrangian submanifolds (SLV m-
folds) X in almost Calabi–Yau m-folds M with singularities x 1,..., xn locally modelled on …