The authors review the theory and phenomenology of instantons in quantum
chromodynamics (QCD). After a general overview, they provide a pedagogical introduction …

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to
the scenario in which the soft terms of the low-energy fields are induced by gravity. These …

We study the vacuum structure and don spectrum of N= 2 supersymmetric gauge theory in
four dimensions, with gauge group SU (2). The theory turns out to have remarkably rich and …

A twisted version of four dimensional supersymmetric gauge theory is formulated. The
model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent …

We study four dimensional N= 2 supersymmetric gauge theories with matter multiplets. For
all such models for which the gauge group is SU (2), we derive the exact metric on the …

We demonstrate electric-magnetic duality in N= 1 supersymmetric non-Abelian gauge
theories in four dimensions by presenting two different gauge theories (different gauge …

This thorough and detailed exposition is the result of an intensive month-long course on
mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry …

We investigate the embedding of brane inflation into stable compactifications of string
theory. At first sight a warped compactification geometry seems to produce a naturally flat …

We report the construction of large new classes of models which break supersymmetry
dynamically. We then turn to model building. Two of the principal obstacles to constructing …

We prove mirror symmetry for supersymmetric sigma models on Kahler manifolds in 1+ 1
dimensions. The proof involves establishing the equivalence of the gauged linear sigma …